diff --git a/package.json b/package.json
index b1b187b9edd8..bd408294edbf 100644
--- a/package.json
+++ b/package.json
@@ -60,7 +60,7 @@
     "fbjs": "^0.8.16",
     "fbjs-scripts": "^0.6.0",
     "filesize": "^3.5.6",
-    "flow-bin": "^0.61.0",
+    "flow-bin": "^0.72.0",
     "flow-coverage-report": "^0.4.0",
     "git-branch": "^0.3.0",
     "glob": "^6.0.4",
diff --git a/packages/react-dom/src/client/ReactDOM.js b/packages/react-dom/src/client/ReactDOM.js
index 4526bcf316d9..d65f09641ef9 100644
--- a/packages/react-dom/src/client/ReactDOM.js
+++ b/packages/react-dom/src/client/ReactDOM.js
@@ -53,9 +53,11 @@ let didWarnAboutUnstableCreatePortal = false;
 if (__DEV__) {
   if (
     typeof Map !== 'function' ||
+    // $FlowIssue Flow incorrectly thinks Map has no prototype
     Map.prototype == null ||
     typeof Map.prototype.forEach !== 'function' ||
     typeof Set !== 'function' ||
+    // $FlowIssue Flow incorrectly thinks Set has no prototype
     Set.prototype == null ||
     typeof Set.prototype.clear !== 'function' ||
     typeof Set.prototype.forEach !== 'function'
diff --git a/packages/react-dom/src/client/ReactDOMFiberComponent.js b/packages/react-dom/src/client/ReactDOMFiberComponent.js
index 4c3c7a9c1dd3..3c9e802b6e34 100644
--- a/packages/react-dom/src/client/ReactDOMFiberComponent.js
+++ b/packages/react-dom/src/client/ReactDOMFiberComponent.js
@@ -432,7 +432,11 @@ export function setInitialProperties(
   const isCustomComponentTag = isCustomComponent(tag, rawProps);
   if (__DEV__) {
     validatePropertiesInDevelopment(tag, rawProps);
-    if (isCustomComponentTag && !didWarnShadyDOM && domElement.shadyRoot) {
+    if (
+      isCustomComponentTag &&
+      !didWarnShadyDOM &&
+      (domElement: any).shadyRoot
+    ) {
       warning(
         false,
         '%s is using shady DOM. Using shady DOM with React can ' +
@@ -820,7 +824,11 @@ export function diffHydratedProperties(
     suppressHydrationWarning = rawProps[SUPPRESS_HYDRATION_WARNING] === true;
     isCustomComponentTag = isCustomComponent(tag, rawProps);
     validatePropertiesInDevelopment(tag, rawProps);
-    if (isCustomComponentTag && !didWarnShadyDOM && domElement.shadyRoot) {
+    if (
+      isCustomComponentTag &&
+      !didWarnShadyDOM &&
+      (domElement: any).shadyRoot
+    ) {
       warning(
         false,
         '%s is using shady DOM. Using shady DOM with React can ' +
diff --git a/packages/react-dom/src/client/ReactDOMHostConfig.js b/packages/react-dom/src/client/ReactDOMHostConfig.js
index 15385db2eec1..9d06c8f26802 100644
--- a/packages/react-dom/src/client/ReactDOMHostConfig.js
+++ b/packages/react-dom/src/client/ReactDOMHostConfig.js
@@ -30,6 +30,7 @@ export type Props = {
   children?: mixed,
   hidden?: boolean,
   suppressHydrationWarning?: boolean,
+  dangerouslySetInnerHTML?: mixed,
 };
 export type Container = Element | Document;
 export type Instance = Element;
diff --git a/packages/react-dom/src/client/inputValueTracking.js b/packages/react-dom/src/client/inputValueTracking.js
index 732a77beee89..4ccc80ac85b1 100644
--- a/packages/react-dom/src/client/inputValueTracking.js
+++ b/packages/react-dom/src/client/inputValueTracking.js
@@ -63,20 +63,21 @@ function trackValueOnNode(node: any): ?ValueTracker {
   // (needed for certain tests that spyOn input values and Safari)
   if (
     node.hasOwnProperty(valueField) ||
+    typeof descriptor === 'undefined' ||
     typeof descriptor.get !== 'function' ||
     typeof descriptor.set !== 'function'
   ) {
     return;
   }
-
+  const {get, set} = descriptor;
   Object.defineProperty(node, valueField, {
     configurable: true,
     get: function() {
-      return descriptor.get.call(this);
+      return get.call(this);
     },
     set: function(value) {
       currentValue = '' + value;
-      descriptor.set.call(this, value);
+      set.call(this, value);
     },
   });
   // We could've passed this the first time
diff --git a/packages/react-dom/src/events/TapEventPlugin.js b/packages/react-dom/src/events/TapEventPlugin.js
index e1baab05eac4..9c4aab6e6cd6 100644
--- a/packages/react-dom/src/events/TapEventPlugin.js
+++ b/packages/react-dom/src/events/TapEventPlugin.js
@@ -119,10 +119,11 @@ const pointerEvents = [
   TOP_POINTER_UP,
 ];
 
-const dependencies = [TOP_MOUSE_DOWN, TOP_MOUSE_MOVE, TOP_MOUSE_UP].concat(
-  touchEvents,
-  pointerEvents,
-);
+const dependencies: Array<TopLevelType> = [
+  TOP_MOUSE_DOWN,
+  TOP_MOUSE_MOVE,
+  TOP_MOUSE_UP,
+].concat(touchEvents, pointerEvents);
 
 const eventTypes = {
   touchTap: {
diff --git a/packages/react-native-renderer/src/ReactFabric.js b/packages/react-native-renderer/src/ReactFabric.js
index 757212fe2000..3f0146d4c128 100644
--- a/packages/react-native-renderer/src/ReactFabric.js
+++ b/packages/react-native-renderer/src/ReactFabric.js
@@ -63,9 +63,11 @@ function findNodeHandle(componentOrHandle: any): ?number {
   if (hostInstance == null) {
     return hostInstance;
   }
-  if (hostInstance.canonical) {
+  // TODO: the code is right but the types here are wrong.
+  // https://github.com/facebook/react/pull/12863
+  if ((hostInstance: any).canonical) {
     // Fabric
-    return (hostInstance.canonical: any)._nativeTag;
+    return (hostInstance: any).canonical._nativeTag;
   }
   return hostInstance._nativeTag;
 }
diff --git a/packages/react-native-renderer/src/ReactNativeFrameScheduling.js b/packages/react-native-renderer/src/ReactNativeFrameScheduling.js
index ee88fcf5fa20..f4dd2b2e3f0d 100644
--- a/packages/react-native-renderer/src/ReactNativeFrameScheduling.js
+++ b/packages/react-native-renderer/src/ReactNativeFrameScheduling.js
@@ -49,12 +49,13 @@ function scheduleDeferredCallback(
 ): number {
   // We assume only one callback is scheduled at a time b'c that's how Fiber works.
   scheduledCallback = callback;
-  return setTimeout(setTimeoutCallback, 1);
+  const timeoutId = setTimeout(setTimeoutCallback, 1);
+  return (timeoutId: any); // Timeouts are always numbers on RN
 }
 
 function cancelDeferredCallback(callbackID: number) {
   scheduledCallback = null;
-  clearTimeout(callbackID);
+  clearTimeout((callbackID: any)); // Timeouts are always numbers on RN
 }
 
 export {now, scheduleDeferredCallback, cancelDeferredCallback};
diff --git a/packages/react-native-renderer/src/ReactNativeRenderer.js b/packages/react-native-renderer/src/ReactNativeRenderer.js
index a66548fdc902..50d63de4fa17 100644
--- a/packages/react-native-renderer/src/ReactNativeRenderer.js
+++ b/packages/react-native-renderer/src/ReactNativeRenderer.js
@@ -66,9 +66,9 @@ function findNodeHandle(componentOrHandle: any): ?number {
   if (hostInstance == null) {
     return hostInstance;
   }
-  if (hostInstance.canonical) {
+  if ((hostInstance: any).canonical) {
     // Fabric
-    return (hostInstance.canonical: any)._nativeTag;
+    return (hostInstance: any).canonical._nativeTag;
   }
   return hostInstance._nativeTag;
 }
diff --git a/packages/react-noop-renderer/src/createReactNoop.js b/packages/react-noop-renderer/src/createReactNoop.js
index 950f0deec29c..873dc8879934 100644
--- a/packages/react-noop-renderer/src/createReactNoop.js
+++ b/packages/react-noop-renderer/src/createReactNoop.js
@@ -23,7 +23,7 @@ import emptyObject from 'fbjs/lib/emptyObject';
 import expect from 'expect';
 
 type Container = {rootID: string, children: Array<Instance | TextInstance>};
-type Props = {prop: any, hidden?: boolean};
+type Props = {prop: any, hidden?: boolean, children?: mixed};
 type Instance = {|
   type: string,
   id: number,
diff --git a/packages/react-reconciler/src/ReactChildFiber.js b/packages/react-reconciler/src/ReactChildFiber.js
index d3140340c261..ae19577aa29c 100644
--- a/packages/react-reconciler/src/ReactChildFiber.js
+++ b/packages/react-reconciler/src/ReactChildFiber.js
@@ -151,6 +151,7 @@ function coerceRef(
       if (
         current !== null &&
         current.ref !== null &&
+        typeof current.ref === 'function' &&
         current.ref._stringRef === stringRef
       ) {
         return current.ref;
@@ -901,18 +902,15 @@ function ChildReconciler(shouldTrackSideEffects) {
 
     if (__DEV__) {
       // Warn about using Maps as children
-      if (typeof newChildrenIterable.entries === 'function') {
-        const possibleMap = (newChildrenIterable: any);
-        if (possibleMap.entries === iteratorFn) {
-          warning(
-            didWarnAboutMaps,
-            'Using Maps as children is unsupported and will likely yield ' +
-              'unexpected results. Convert it to a sequence/iterable of keyed ' +
-              'ReactElements instead.%s',
-            getCurrentFiberStackAddendum(),
-          );
-          didWarnAboutMaps = true;
-        }
+      if ((newChildrenIterable: any).entries === iteratorFn) {
+        warning(
+          didWarnAboutMaps,
+          'Using Maps as children is unsupported and will likely yield ' +
+            'unexpected results. Convert it to a sequence/iterable of keyed ' +
+            'ReactElements instead.%s',
+          getCurrentFiberStackAddendum(),
+        );
+        didWarnAboutMaps = true;
       }
 
       // First, validate keys.
diff --git a/packages/react-reconciler/src/ReactFiberContext.js b/packages/react-reconciler/src/ReactFiberContext.js
index edbe7b2fa50f..8faf15464206 100644
--- a/packages/react-reconciler/src/ReactFiberContext.js
+++ b/packages/react-reconciler/src/ReactFiberContext.js
@@ -137,7 +137,7 @@ function pushTopLevelContextObject(
   didChange: boolean,
 ): void {
   invariant(
-    contextStackCursor.cursor == null,
+    contextStackCursor.current === emptyObject,
     'Unexpected context found on stack. ' +
       'This error is likely caused by a bug in React. Please file an issue.',
   );
diff --git a/packages/react-scheduler/src/ReactScheduler.js b/packages/react-scheduler/src/ReactScheduler.js
index d1c6eab14d08..9da8fd975d70 100644
--- a/packages/react-scheduler/src/ReactScheduler.js
+++ b/packages/react-scheduler/src/ReactScheduler.js
@@ -60,14 +60,20 @@ let scheduleWork: (
   callback: FrameCallbackType,
   options?: {timeout: number},
 ) => number;
-let cancelScheduledWork: (callbackID: number) => void;
+let cancelScheduledWork: (callbackId: number) => void;
 
 if (!ExecutionEnvironment.canUseDOM) {
+  let callbackIdCounter = 0;
+  // Timeouts are objects in Node.
+  // For consistency, we'll use numbers in the public API anyway.
+  const timeoutIds: {[number]: TimeoutID} = {};
+
   scheduleWork = function(
     callback: FrameCallbackType,
     options?: {timeout: number},
   ): number {
-    return setTimeout(() => {
+    const callbackId = callbackIdCounter++;
+    const timeoutId = setTimeout(() => {
       callback({
         timeRemaining() {
           return Infinity;
@@ -75,9 +81,13 @@ if (!ExecutionEnvironment.canUseDOM) {
         didTimeout: false,
       });
     });
+    timeoutIds[callbackId] = timeoutId;
+    return callbackId;
   };
-  cancelScheduledWork = function(timeoutID: number) {
-    clearTimeout(timeoutID);
+  cancelScheduledWork = function(callbackId: number) {
+    const timeoutId = timeoutIds[callbackId];
+    delete timeoutIds[callbackId];
+    clearTimeout(timeoutId);
   };
 } else {
   // We keep callbacks in a queue.
diff --git a/packages/react-test-renderer/src/ReactTestRenderer.js b/packages/react-test-renderer/src/ReactTestRenderer.js
index ad612d6ddeeb..3fff46d81898 100644
--- a/packages/react-test-renderer/src/ReactTestRenderer.js
+++ b/packages/react-test-renderer/src/ReactTestRenderer.js
@@ -414,7 +414,7 @@ const ReactTestRendererFiber = {
     const entry = {
       root: undefined, // makes flow happy
       // we define a 'getter' for 'root' below using 'Object.defineProperty'
-      toJSON() {
+      toJSON(): Array<ReactTestRendererNode> | ReactTestRendererNode | null {
         if (root == null || root.current == null || container == null) {
           return null;
         }
diff --git a/scripts/flow/config/flowconfig b/scripts/flow/config/flowconfig
index b0e77d36f635..cd0c4af1b15a 100644
--- a/scripts/flow/config/flowconfig
+++ b/scripts/flow/config/flowconfig
@@ -28,7 +28,6 @@ untyped-type-import=error
 [options]
 esproposal.class_static_fields=enable
 esproposal.class_instance_fields=enable
-unsafe.enable_getters_and_setters=true
 
 # Substituted by createFlowConfig.js:
 %REACT_RENDERER_FLOW_OPTIONS%
@@ -46,4 +45,4 @@ suppress_comment=\\(.\\|\n\\)*\\$FlowFixedInNextDeploy
 suppress_comment=\\(.\\|\n\\)*\\$FlowExpectedError
 
 [version]
-^0.61.0
\ No newline at end of file
+^0.72.0
\ No newline at end of file
diff --git a/yarn.lock b/yarn.lock
index 710312cbeba7..6ddc40c4f540 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -2420,9 +2420,9 @@ flow-annotation-check@1.3.1:
     glob "7.1.1"
     load-pkg "^3.0.1"
 
-flow-bin@^0.61.0:
-  version "0.61.0"
-  resolved "https://registry.yarnpkg.com/flow-bin/-/flow-bin-0.61.0.tgz#d0473a8c35dbbf4de573823f4932124397d32d35"
+flow-bin@^0.72.0:
+  version "0.72.0"
+  resolved "https://registry.yarnpkg.com/flow-bin/-/flow-bin-0.72.0.tgz#12051180fb2db7ccb728fefe67c77e955e92a44d"
 
 flow-coverage-report@^0.4.0:
   version "0.4.0"