diff --git a/README.md b/README.md
index 2a4a01c4..7bd33a4a 100644
--- a/README.md
+++ b/README.md
@@ -161,7 +161,7 @@ extreme::run(async move {
 
 # minimum supported Rust version (MSRV)
 
-We support Rust 1.57.0 and up.
+We support Rust 1.62 and up.
 
 # architecture
 
diff --git a/scripts/cross_compile.sh b/scripts/cross_compile.sh
index 7f2f0c20..bb257f28 100755
--- a/scripts/cross_compile.sh
+++ b/scripts/cross_compile.sh
@@ -12,10 +12,10 @@ rustup update --no-self-update
 
 RUSTFLAGS="--cfg miri" cargo check
 
-rustup toolchain install 1.57.0 --no-self-update
+rustup toolchain install 1.62 --no-self-update
 cargo clean
 rm Cargo.lock
-cargo +1.57.0 check
+cargo +1.62 check
 
 for target in $targets; do
   echo "setting up $target..."
diff --git a/src/ebr/atomic.rs b/src/ebr/atomic.rs
index ff07621e..9a04aac2 100644
--- a/src/ebr/atomic.rs
+++ b/src/ebr/atomic.rs
@@ -720,7 +720,7 @@ impl<'g, T> Shared<'g, T> {
 
 impl<'g, T: ?Sized + Pointable> Shared<'g, T> {
     /// Returns a new null pointer.
-    pub(crate) fn null() -> Shared<'g, T> {
+    pub(crate) const fn null() -> Shared<'g, T> {
         Shared { data: 0, _marker: PhantomData }
     }