Is My Old Stove Dangerous?

I have an old stove pressed up against drywall. The back of the stove gets REALLY hot. 20 minutes after I turned the stove off, i felt the wall 5 inches above the stove, and it was so hot that I almost couldn't keep my hand there. I can imagine how hot the wall gets directly behind the stove, in the middle of a broil. Should I be concerned about a fire!? Do modern stoves not radiate this much each heat in the back?