59532 has 36 divisors (see below), whose sum is σ = 156408. Its totient is φ = 17600.

The previous prime is 59513. The next prime is 59539. The reversal of 59532 is 23595.

It is not an unprimeable number, because it can be changed into a prime (59539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1432 + ... + 1472.

2⁵⁹⁵³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78204).

59532 is an abundant number, since it is smaller than the sum of its proper divisors (96876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59532 is a wasteful number, since it uses less digits than its factorization.

59532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 59532 is about 243.9918031410. The cubic root of 59532 is about 39.0466240552.

Subtracting from 59532 its reverse (23595), we obtain a cube (35937 = 33³).

The spelling of 59532 in words is "fifty-nine thousand, five hundred thirty-two".