57045672 has 24 divisors (see below), whose sum is σ = 154498890. Its totient is φ = 19015200.

The previous prime is 57045671. The next prime is 57045679. The reversal of 57045672 is 27654075.

57045672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55442916 + 1602756 = 7446^2 + 1266^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (57045671) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 396079 + ... + 396222.

Almost surely, 2^57045672 is an apocalyptic number.

It is an amenable number.

57045672 is an abundant number, since it is smaller than the sum of its proper divisors (97453218).

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

57045672 is a wasteful number, since it uses less digits than its factorization.

57045672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792313 (or 792306 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 57045672 is about 7552.8585317084. The cubic root of 57045672 is about 384.9528744253.

The spelling of 57045672 in words is "fifty-seven million, forty-five thousand, six hundred seventy-two".