57565872 has 240 divisors, whose sum is σ = 207986688. Its totient is φ = 14446080.

The previous prime is 57565867. The next prime is 57565873. The reversal of 57565872 is 27856575.

57565872 is a `hidden beast` number, since 5 + 7 + 565 + 87 + 2 = 666.

57565872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×57565872³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (57565873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301297 + ... + 301487.

Almost surely, 2^57565872 is an apocalyptic number.

57565872 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 57565872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103993344).

57565872 is an abundant number, since it is smaller than the sum of its proper divisors (150420816).

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

57565872 is a wasteful number, since it uses less digits than its factorization.

57565872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 57565872 is about 7587.2176718478. The cubic root of 57565872 is about 386.1194651119.

It can be divided in two parts, 5756 and 5872, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 57565872 in words is "fifty-seven million, five hundred sixty-five thousand, eight hundred seventy-two".