59232 has 24 divisors (see below), whose sum is σ = 155736. Its totient is φ = 19712.

The previous prime is 59221. The next prime is 59233. The reversal of 59232 is 23295.

59232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a plaindrome in base 7.

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 59199 and 59208.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59232.

It is not an unprimeable number, because it can be changed into a prime (59233) by changing a digit.

59232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (6489).

2⁵⁹²³² is an apocalyptic number.

It is an amenable number.

59232 is an abundant number, since it is smaller than the sum of its proper divisors (96504).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77868).

59232 is a wasteful number, since it uses less digits than its factorization.

59232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 59232 is about 243.3762519228. The cubic root of 59232 is about 38.9809242675.

Subtracting from 59232 its reverse (23295), we obtain a cube (35937 = 33³).

The spelling of 59232 in words is "fifty-nine thousand, two hundred thirty-two".