57072960 has 336 divisors, whose sum is σ = 237744000. Its totient is φ = 12275712.

The previous prime is 57072949. The next prime is 57072973. The reversal of 57072960 is 6927075.

57072960 is a `hidden beast` number, since 570 + 7 + 29 + 60 = 666.

57072960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382966 + ... + 383114.

Almost surely, 2^57072960 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 57072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872000).

57072960 is an abundant number, since it is smaller than the sum of its proper divisors (180671040).

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

57072960 is a wasteful number, since it uses less digits than its factorization.

57072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 57072960 is about 7554.6647840920. The cubic root of 57072960 is about 385.0142458326.

The spelling of 57072960 in words is "fifty-seven million, seventy-two thousand, nine hundred sixty".