72712161 has 24 divisors (see below), whose sum is σ = 110437600. Its totient is φ = 47799072.

The previous prime is 72712139. The next prime is 72712169. The reversal of 72712161 is 16121727.

It is not a de Polignac number, because 72712161 - 2⁷ = 72712033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72712169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15690 + ... + 19788.

Almost surely, 2^72712161 is an apocalyptic number.

It is an amenable number.

72712161 is a deficient number, since it is larger than the sum of its proper divisors (37725439).

72712161 is an equidigital number, since it uses as much as digits as its factorization.

72712161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4175 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 72712161 is about 8527.1426046478. The cubic root of 72712161 is about 417.3838916015.

Adding to 72712161 its reverse (16121727), we get a palindrome (88833888).

The spelling of 72712161 in words is "seventy-two million, seven hundred twelve thousand, one hundred sixty-one".