57577872 has 40 divisors (see below), whose sum is σ = 162266400. Its totient is φ = 17447680.

The previous prime is 57577859. The next prime is 57577873. The reversal of 57577872 is 27877575.

It is a super-2 number, since 2×57577872² = 6630422688096768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (57577873) 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, 53997 + ... + 55052.

It is an arithmetic number, because the mean of its divisors is an integer number (4056660).

Almost surely, 2^57577872 is an apocalyptic number.

It is an amenable number.

57577872 is an abundant number, since it is smaller than the sum of its proper divisors (104688528).

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

57577872 is a wasteful number, since it uses less digits than its factorization.

57577872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109071 (or 109065 counting only the distinct ones).

The product of its digits is 960400, while the sum is 48.

The square root of 57577872 is about 7588.0084343654. The cubic root of 57577872 is about 386.1462929962.

The spelling of 57577872 in words is "fifty-seven million, five hundred seventy-seven thousand, eight hundred seventy-two".