Your dentist might not recommend it (or anyone else here for that matter!!), but put a towel around the end and grip it between your teeth and turn it. Works on mine, and neither the razor or teeth are chipped. Yet.
Update!
SAVED!!!!
I soaked it for quite a stretch (a day or two) in mineral oil. That did not do the trick. I then boiled it in water for about 10-15 minutes and then put it while still hot into the mineral oil for another day. I took it out, washed it off, tried to twist it close it again but no go. So, going for broke, I went out to the tool chest in the garage, wrapped electrical tape around the end and body, took some channel locks and gave it a gentle twist and that was all it needed! I decided to finish things up with a bath in Scrubbing Bubbles and a toothbrush then about 10 minutes with Maas and qtips and soft cloth. This razor looks absolutely brand new - real stunner. I am really glad I was able to get it unstuck because I would have to track down another if I couldn't or I would have missed this razor too much.
Thanks for the suggestions all -
Dennis, Glad you got in working. Sometimes these things can only relate to a bit of pressure.
Glad that it worked out, Dennis!
Re: Using your teeth... towel or no towel.
Another "un-sticker" is Marvel Mystery Oil. It often works, where other products will not. A gentle tap or two with a small leather mallet will also tend to help things move when they're stuck. Both of those items can usually be found in most auto parts stores.
Tchau,
chop-chop
Guess one should reaaaaaally clean it out afterwards 
