Unstringing yes, but NO propping. Could damage your tips.
Build a two piece mount of rubber. Basically two wedges. Mount them so they can pivot. With the bow limb placed between them, its weight will pull down and cause the rubber to clamp together, suspending it. I can draw a diagram if you need it, but its a pretty simple concept.
This is how I use to store mine, but now my closet is big enough, I can lay it flat on the top shelf.
I have twenty long bows, recurve bows, and self bows on a rack I made that goes nearly from floor to ceiling in my 'toy' room. I used cut offs from wooden arrows, and bored holes in 1" x 2" oak boards so the holes matched; then glued the 'pegs' into the holes and mounted the boards on my wall just far enough apart so that most recurves fit the pegs at the apex of the curve. With this rack, I unstring my bows, and hang them across the pegs getting 2 bows per peg.
I would never recommend storing a bow on one of its limbs in a corner. Either support as described by ncsurveyor or as above. If only one bow: use a split set of antlers spaced wide enough to accomodate your bow.
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