72616131 has 12 divisors (see below), whose sum is σ = 119874352. Its totient is φ = 41494896.

The previous prime is 72616123. The next prime is 72616139. The reversal of 72616131 is 13161627.

It is an interprime number because it is at equal distance from previous prime (72616123) and next prime (72616139).

It is not a de Polignac number, because 72616131 - 2³ = 72616123 is a prime.

It is a super-2 number, since 2×72616131² = 10546204962818322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72616095 and 72616104.

It is not an unprimeable number, because it can be changed into a prime (72616139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576256 + ... + 576381.

Almost surely, 2^72616131 is an apocalyptic number.

72616131 is a deficient number, since it is larger than the sum of its proper divisors (47258221).

72616131 is a wasteful number, since it uses less digits than its factorization.

72616131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152650 (or 1152647 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 72616131 is about 8521.5099014201. The cubic root of 72616131 is about 417.2000661703.

Adding to 72616131 its reverse (13161627), we get a palindrome (85777758).

The spelling of 72616131 in words is "seventy-two million, six hundred sixteen thousand, one hundred thirty-one".