72959 has 2 divisors, whose sum is σ = 72960. Its totient is φ = 72958.

The previous prime is 72953. The next prime is 72973. The reversal of 72959 is 95927.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72959 - 2¹² = 68863 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36479 + 36480.

It is an arithmetic number, because the mean of its divisors is an integer number (36480).

2⁷²⁹⁵⁹ is an apocalyptic number.

72959 is a deficient number, since it is larger than the sum of its proper divisors (1).

72959 is an equidigital number, since it uses as much as digits as its factorization.

72959 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5670, while the sum is 32.

The square root of 72959 is about 270.1092371616. The cubic root of 72959 is about 41.7855661649.

Subtracting from 72959 its sum of digits (32), we obtain a palindrome (72927).

The spelling of 72959 in words is "seventy-two thousand, nine hundred fifty-nine".