57801672 has 48 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 19180896.

The previous prime is 57801671. The next prime is 57801697. The reversal of 57801672 is 27610875.

57801672 is a `hidden beast` number, since 578 + 0 + 16 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57801671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15529 + ... + 18887.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^57801672 is an apocalyptic number.

It is an amenable number.

57801672 is an abundant number, since it is smaller than the sum of its proper divisors (99446328).

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

57801672 is a wasteful number, since it uses less digits than its factorization.

57801672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 57801672 is about 7602.7410846352. The cubic root of 57801672 is about 386.6459514599.

The spelling of 57801672 in words is "fifty-seven million, eight hundred one thousand, six hundred seventy-two".