57512 has 32 divisors (see below), whose sum is σ = 134400. Its totient is φ = 22464.

The previous prime is 57503. The next prime is 57527. The reversal of 57512 is 21575.

It is an unprimeable number.

57512 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 7 ways as a sum of consecutive naturals, for example, 689 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁵⁷⁵¹² is an apocalyptic number.

57512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67200).

57512 is an abundant number, since it is smaller than the sum of its proper divisors (76888).

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

57512 is a wasteful number, since it uses less digits than its factorization.

57512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

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

The square root of 57512 is about 239.8165965900. The cubic root of 57512 is about 38.5998979836.

Subtracting from 57512 its reverse (21575), we obtain a cube (35937 = 33³).

The spelling of 57512 in words is "fifty-seven thousand, five hundred twelve".