57027672 has 128 divisors (see below), whose sum is σ = 178214400. Its totient is φ = 16765056.

The previous prime is 57027667. The next prime is 57027727. The reversal of 57027672 is 27672075.

57027672 is a `hidden beast` number, since 570 + 27 + 67 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64143 + ... + 65025.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^57027672 is an apocalyptic number.

57027672 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 57027672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

57027672 is an abundant number, since it is smaller than the sum of its proper divisors (121186728).

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

57027672 is a wasteful number, since it uses less digits than its factorization.

57027672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 57027672 is about 7551.6668358714. Note that the first 3 decimals coincide. The cubic root of 57027672 is about 384.9123812530.

The spelling of 57027672 in words is "fifty-seven million, twenty-seven thousand, six hundred seventy-two".