57756672 has 88 divisors (see below), whose sum is σ = 171129200. Its totient is φ = 19243008.

The previous prime is 57756653. The next prime is 57756761. The reversal of 57756672 is 27665775.

57756672 is a `hidden beast` number, since 577 + 5 + 6 + 6 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26604 + ... + 28692.

It is an arithmetic number, because the mean of its divisors is an integer number (1944650).

Almost surely, 2^57756672 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 57756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85564600).

57756672 is an abundant number, since it is smaller than the sum of its proper divisors (113372528).

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

57756672 is a wasteful number, since it uses less digits than its factorization.

57756672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2094 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 57756672 is about 7599.7810494777. The cubic root of 57756672 is about 386.5455876679.

The spelling of 57756672 in words is "fifty-seven million, seven hundred fifty-six thousand, six hundred seventy-two".