Why not back it back to the quiet 65#s? It should still shoot clean through any whitetail, and the extra speed at 72#s won't compensate for the jumping the string issues from a loud bow. And, if you happen to hunt in some really cold weather I can almost promise you that you won't find that 72#s as easy to pull when the temps dip below freezing.
Like others, I'm guessing your arrow is on the light side for that poundage.
One product I really like are the neoprene limb covers by QAD (Quality Archery Design). The do help quieting things down a little, and do a tremendous job in protecting your limbs from scrapes and scratches while hunting. I have them on both of my bows.