57265920 has 144 divisors (see below), whose sum is σ = 203337120. Its totient is φ = 15261696.

The previous prime is 57265913. The next prime is 57265921. The reversal of 57265920 is 2956275.

57265920 is a `hidden beast` number, since 572 + 65 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57265921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33732 + ... + 35388.

Almost surely, 2^57265920 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 57265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101668560).

57265920 is an abundant number, since it is smaller than the sum of its proper divisors (146071200).

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

57265920 is a wasteful number, since it uses less digits than its factorization.

57265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57265920 is about 7567.4249252966. The cubic root of 57265920 is about 385.4476605349.

It can be divided in two parts, 57265 and 920, that added together give a palindrome (58185).

The spelling of 57265920 in words is "fifty-seven million, two hundred sixty-five thousand, nine hundred twenty".