Bad backs are common for larger people. If you really are nearly as tall as your name suggests, odds are that you’ll have back issues regardless, so you better get used to it. I have a friend who is about the same proportions I am (a little on the slender side), but about a foot taller. The Square-Cube law (assuming the same shape, someone twice as big will be four (2^2) times as strong but eight (2^3) times as heavy) basically means that he has a lot more weight (almost 60%) to carry with only a little (~36%) more muscle. At 7’, ~300 pounds, he has back/joint problems all the time.
If I read your profile right, you’re ~6’ 5.5” and 272lbs. While 272 pounds may seem like a lot, you’re only slightly overweight for your size. Still, you are a big boy, and that will cause you issues even if you live healthy and all; simple physics will cause you problems.
In the short-term, staying flat and taking the weight off will help, but unless you want this to be a fairly chronic thing, you’re going to have to do a little work on strengthening your core muscles. It’s even more important past age 30 as us older folks don’t heal as fast as kids.
@JLeslie Kind of like a reverse crunch/situp. It helps strengthen the muscles that keep you upright, mainly the ones in the lower back.