72957 has 8 divisors (see below), whose sum is σ = 98784. Its totient is φ = 47888.

The previous prime is 72953. The next prime is 72959. The reversal of 72957 is 75927.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72957 - 2² = 72953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2⁷²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

72957 is a deficient number, since it is larger than the sum of its proper divisors (25827).

72957 is a wasteful number, since it uses less digits than its factorization.

72957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379.

The product of its digits is 4410, while the sum is 30.

The square root of 72957 is about 270.1055349303. The cubic root of 72957 is about 41.7851843436.

Subtracting from 72957 its sum of digits (30), we obtain a palindrome (72927).

The spelling of 72957 in words is "seventy-two thousand, nine hundred fifty-seven".