72057 has 4 divisors (see below), whose sum is σ = 96080. Its totient is φ = 48036.

The previous prime is 72053. The next prime is 72073. The reversal of 72057 is 75027.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 72057 - 2² = 72053 is a prime.

It is a super-2 number, since 2×72057² = 10384422498, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72057.

It is not an unprimeable number, because it can be changed into a prime (72053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12007 + ... + 12012.

It is an arithmetic number, because the mean of its divisors is an integer number (24020).

2⁷²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

72057 is a deficient number, since it is larger than the sum of its proper divisors (24023).

72057 is a wasteful number, since it uses less digits than its factorization.

72057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24022.

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 72057 is about 268.4343495159. The cubic root of 72057 is about 41.6126517855.

It can be divided in two parts, 720 and 57, that added together give a palindrome (777).

The spelling of 72057 in words is "seventy-two thousand, fifty-seven".