72331 has 4 divisors (see below), whose sum is σ = 82672. Its totient is φ = 61992.

The previous prime is 72313. The next prime is 72337. The reversal of 72331 is 13327.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 72331 - 2¹⁵ = 39563 is a prime.

It is a super-2 number, since 2×72331² = 10463547122, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (72337) 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, 5160 + ... + 5173.

It is an arithmetic number, because the mean of its divisors is an integer number (20668).

2⁷²³³¹ is an apocalyptic number.

72331 is a deficient number, since it is larger than the sum of its proper divisors (10341).

72331 is a wasteful number, since it uses less digits than its factorization.

72331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10340.

The product of its digits is 126, while the sum is 16.

The square root of 72331 is about 268.9442321374. The cubic root of 72331 is about 41.6653297349.

Adding to 72331 its reverse (13327), we get a palindrome (85658).

It can be divided in two parts, 72 and 331, that multiplied together give a palindrome (23832).

The spelling of 72331 in words is "seventy-two thousand, three hundred thirty-one".