57552 has 40 divisors (see below), whose sum is σ = 163680. Its totient is φ = 17280.

The previous prime is 57529. The next prime is 57557. The reversal of 57552 is 25575.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1750) is a multiple of the sum of its prime divisors (125).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57557) 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, 474 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (4092).

2⁵⁷⁵⁵² 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 57552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840).

57552 is an abundant number, since it is smaller than the sum of its proper divisors (106128).

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

57552 is a wasteful number, since it uses less digits than its factorization.

57552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 1750, while the sum is 24.

The square root of 57552 is about 239.8999791580. The cubic root of 57552 is about 38.6088447431.

It can be divided in two parts, 5 and 7552, that added together give a palindrome (7557).

The spelling of 57552 in words is "fifty-seven thousand, five hundred fifty-two".