72631 has 8 divisors (see below), whose sum is σ = 80864. Its totient is φ = 64800.

The previous prime is 72623. The next prime is 72643. The reversal of 72631 is 13627.

72631 = 25² + 26² + ... + 61².

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

It is a 5-Lehmer number, since φ(72631) divides (72631-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 72631 - 2³ = 72623 is a prime.

It is a super-2 number, since 2×72631² = 10550524322, which contains 22 as substring.

It is the 270-th Hogben number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72599 and 72608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72661) by changing a digit.

It is a nontrivial repunit in base 269.

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, 406 + ... + 556.

It is an arithmetic number, because the mean of its divisors is an integer number (10108).

2⁷²⁶³¹ is an apocalyptic number.

72631 is a deficient number, since it is larger than the sum of its proper divisors (8233).

72631 is a wasteful number, since it uses less digits than its factorization.

72631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201.

The product of its digits is 252, while the sum is 19.

The square root of 72631 is about 269.5013914621. The cubic root of 72631 is about 41.7228539754.

It can be divided in two parts, 726 and 31, that added together give a palindrome (757).

The spelling of 72631 in words is "seventy-two thousand, six hundred thirty-one".