It is a happy number.
It is a Jordan-Polya number, since it can be written as (2!)5.
32 is nontrivially palindromic in base 7 and base 15.
32 is an esthetic number in base 3 and base 10, because in such bases it adjacent digits differ by 1.
It is an ABA number since it can be written as A⋅BA, here for A=2, B=4.
It is a Leyland number of the form 42 + 24.
It is a magnanimous number.
It is an alternating number because its digits alternate between odd and even.
It is a house number.
It is a Duffinian number.
32 is a nontrivial repdigit in base 7 and base 15.
It is a plaindrome in base 5, base 7, base 9, base 11, base 12, base 13, base 14 and base 15.
It is a nialpdrome in base 2, base 4, base 6, base 7, base 8, base 10, base 15 and base 16.
It is a zygodrome in base 7 and base 15.
A polygon with 32 sides can be constructed with ruler and compass.
It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 32
32 is an equidigital number, since it uses as much as digits as its factorization.
32 is an odious number, because the sum of its binary digits is odd.
The square root of 32 is about 5.6568542495. The cubic root of 32 is about 3.1748021039.