57165672 has 32 divisors (see below), whose sum is σ = 149129280. Its totient is φ = 18226560.

The previous prime is 57165671. The next prime is 57165709. The reversal of 57165672 is 27656175.

It is a super-3 number, since 3×57165672³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57165672.

It is not an unprimeable number, because it can be changed into a prime (57165671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51229 + ... + 52332.

It is an arithmetic number, because the mean of its divisors is an integer number (4660290).

Almost surely, 2^57165672 is an apocalyptic number.

It is an amenable number.

57165672 is an abundant number, since it is smaller than the sum of its proper divisors (91963608).

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

57165672 is a wasteful number, since it uses less digits than its factorization.

57165672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103593 (or 103589 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 57165672 is about 7560.7983705426. The cubic root of 57165672 is about 385.2226114622. Note that the first 3 decimals are identical.

The spelling of 57165672 in words is "fifty-seven million, one hundred sixty-five thousand, six hundred seventy-two".