57232 has 30 divisors (see below), whose sum is σ = 130758. Its totient is φ = 24192.

The previous prime is 57223. The next prime is 57241. The reversal of 57232 is 23275.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57223) and next prime (57241).

It can be written as a sum of positive squares in only one way, i.e., 50176 + 7056 = 224^2 + 84^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 748 + ... + 820.

2⁵⁷²³² 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 57232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65379).

57232 is an abundant number, since it is smaller than the sum of its proper divisors (73526).

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

57232 is a wasteful number, since it uses less digits than its factorization.

57232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its digits is 420, while the sum is 19.

The square root of 57232 is about 239.2321048689. The cubic root of 57232 is about 38.5371542156.

It can be divided in two parts, 57 and 232, that added together give a square (289 = 17²).

The spelling of 57232 in words is "fifty-seven thousand, two hundred thirty-two".