57520 has 20 divisors (see below), whose sum is σ = 133920. Its totient is φ = 22976.

The previous prime is 57503. The next prime is 57527. The reversal of 57520 is 2575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 280 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2⁵⁷⁵²⁰ is an apocalyptic number.

It is an amenable number.

57520 is an abundant number, since it is smaller than the sum of its proper divisors (76400).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

57520 is a wasteful number, since it uses less digits than its factorization.

57520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 57520 is about 239.8332754227. The cubic root of 57520 is about 38.6016876673.

Subtracting from 57520 its reverse (2575), we obtain a palindrome (54945).

It can be divided in two parts, 575 and 20, that added together give a palindrome (595).

The spelling of 57520 in words is "fifty-seven thousand, five hundred twenty".