72557 has 6 divisors (see below), whose sum is σ = 75978. Its totient is φ = 69264.

The previous prime is 72551. The next prime is 72559. The reversal of 72557 is 75527.

It can be written as a sum of positive squares in 3 ways, for example, as 48841 + 23716 = 221^2 + 154^2 .

It is not a de Polignac number, because 72557 - 2⁶ = 72493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72551) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1343 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (12663).

2⁷²⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

72557 is a deficient number, since it is larger than the sum of its proper divisors (3421).

72557 is an equidigital number, since it uses as much as digits as its factorization.

72557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its digits is 2450, while the sum is 26.

The square root of 72557 is about 269.3640659034. The cubic root of 72557 is about 41.7086794019.

Subtracting from 72557 its product of digits (2450), we obtain a palindrome (70107).

It can be divided in two parts, 72 and 557, that multiplied together give a palindrome (40104).

The spelling of 72557 in words is "seventy-two thousand, five hundred fifty-seven".