57657072 has 40 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 17471680.

The previous prime is 57657071. The next prime is 57657073. The reversal of 57657072 is 27075675.

It is an interprime number because it is at equal distance from previous prime (57657071) and next prime (57657073).

It is a super-2 number, since 2×57657072² = 6648675903226368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57657072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57657071) 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, 54072 + ... + 55127.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^57657072 is an apocalyptic number.

It is an amenable number.

57657072 is an abundant number, since it is smaller than the sum of its proper divisors (104832528).

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

57657072 is a wasteful number, since it uses less digits than its factorization.

57657072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109221 (or 109215 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 57657072 is about 7593.2254016327. The cubic root of 57657072 is about 386.3232636132.

The spelling of 57657072 in words is "fifty-seven million, six hundred fifty-seven thousand, seventy-two".