apt-get autoremove wants to remove linux headers

Today I ran apt-get autoremove to remove un-needed packages and it wants to remove linux-headers-3.2.0-37 and linux-headers-3.2.0-37-generic

Reading package lists... Done
Building dependency tree       
Reading state information... Done
The following packages will be REMOVED:
libglademm-2.4-1c2a linux-headers-3.2.0-37 linux-headers-3.2.0-37-generic ttf-umefont    ttf-unfonts-core
0 upgraded, 0 newly installed, 5 to remove and 0 not upgraded.
After this operation, 67.6 MB disk space will be freed.
Do you want to continue [Y/n]? 

Is it safe to remove these? My installed kernel is a newer version than the headers that autoremove lists.

uname -r
3.2.0-38-generic

Yes it is safe to remove the old kernel and headers as you are using a higher kernel.

It's clearly safe as it isn't the same version. However you can check if you have headers installed for your version 3.2.0-38-generic with this command:apt-cache policy linux-headers-3.2.0-38-generic.