57252 has 24 divisors (see below), whose sum is σ = 144256. Its totient is φ = 17568.

The previous prime is 57251. The next prime is 57259. The reversal of 57252 is 25275.

It is not an unprimeable number, because it can be changed into a prime (57251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 339.

2⁵⁷²⁵² is an apocalyptic number.

57252 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 57252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72128).

57252 is an abundant number, since it is smaller than the sum of its proper divisors (87004).

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

57252 is a wasteful number, since it uses less digits than its factorization.

57252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its digits is 700, while the sum is 21.

The square root of 57252 is about 239.2739016274. The cubic root of 57252 is about 38.5416426913.

The spelling of 57252 in words is "fifty-seven thousand, two hundred fifty-two".