72412131 has 16 divisors (see below), whose sum is σ = 106773120. Its totient is φ = 43283520.

The previous prime is 72412121. The next prime is 72412133. The reversal of 72412131 is 13121427.

It is not a de Polignac number, because 72412131 - 2⁵ = 72412099 is a prime.

It is a super-2 number, since 2×72412131² = 10487033431922322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72412098 and 72412107.

It is not an unprimeable number, because it can be changed into a prime (72412133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12621 + ... + 17438.

It is an arithmetic number, because the mean of its divisors is an integer number (6673320).

Almost surely, 2^72412131 is an apocalyptic number.

72412131 is a deficient number, since it is larger than the sum of its proper divisors (34360989).

72412131 is a wasteful number, since it uses less digits than its factorization.

72412131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30146.

The product of its digits is 336, while the sum is 21.

The square root of 72412131 is about 8509.5317732529. The cubic root of 72412131 is about 416.8090206571.

Adding to 72412131 its reverse (13121427), we get a palindrome (85533558).

The spelling of 72412131 in words is "seventy-two million, four hundred twelve thousand, one hundred thirty-one".