apenwarr writes that he can't seem to find any actual use in the fact that 32 is 2 to the power of 5. You'd think that since 2 and 5 are so much smaller than 32, and powers of 2 are so rare, that you could use this information to compress the representation somehow. But no.
Oddly enough, I was thinking the other day about a 5-bit, Unicode-based charset, with a mind to efficient string quotation.
The charset consisted of the ASCII lower-case letters, excluding "j" and "q", two bracket pairs, namely "[]()", space, ".", ",", and an escape character. Seems to me to be not far from the readable minimum.