32 = 25, a perfect fifth power.
32 is the sum of four consecutive odd numbers: 32 = 5 + 7 + 9 + 11.
A truncated icosahedron has 32 sides, consisting of 12 regular pentagons and 20 regular hexagons. It has 60 vertices.
32 has a representation as a sum of two squares: 32 = 42 + 42.
32 is the number of integer partitions of 16 into distinct parts.
32 is 44 in base 7, 22 in base 15, and 11 in base 31.
Source: Phillips, R. 1994. Numbers: Facts, Figures and Fiction. Cambridge University Press.