72131 has 4 divisors (see below), whose sum is σ = 76392. Its totient is φ = 67872.

The previous prime is 72109. The next prime is 72139. The reversal of 72131 is 13127.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72131 is a prime.

It is a super-2 number, since 2×72131² = 10405762322, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (72139) 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, 2105 + ... + 2138.

It is an arithmetic number, because the mean of its divisors is an integer number (19098).

2⁷²¹³¹ is an apocalyptic number.

72131 is a deficient number, since it is larger than the sum of its proper divisors (4261).

72131 is a wasteful number, since it uses less digits than its factorization.

72131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260.

The product of its digits is 42, while the sum is 14.

The square root of 72131 is about 268.5721504550. The cubic root of 72131 is about 41.6268918209.

Adding to 72131 its reverse (13127), we get a palindrome (85258).

The spelling of 72131 in words is "seventy-two thousand, one hundred thirty-one".