57152 has 28 divisors (see below), whose sum is σ = 121920. Its totient is φ = 26496.

The previous prime is 57149. The next prime is 57163. The reversal of 57152 is 25175.

57152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57152² = 6532702208, which contains 22 as substring.

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 57152.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1193 + ... + 1239.

2⁵⁷¹⁵² 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 57152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960).

57152 is an abundant number, since it is smaller than the sum of its proper divisors (64768).

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

57152 is a wasteful number, since it uses less digits than its factorization.

57152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its digits is 350, while the sum is 20.

The square root of 57152 is about 239.0648447597. The cubic root of 57152 is about 38.5191898488.

It can be divided in two parts, 571 and 52, that multiplied together give a palindrome (29692).

The spelling of 57152 in words is "fifty-seven thousand, one hundred fifty-two".