72615961 has 16 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 63289600.

The previous prime is 72615911. The next prime is 72615979. The reversal of 72615961 is 16951627.

It is not a de Polignac number, because 72615961 - 2⁷ = 72615833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72615961.

It is not an unprimeable number, because it can be changed into a prime (72615911) 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, 25245 + ... + 27973.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^72615961 is an apocalyptic number.

It is an amenable number.

72615961 is a deficient number, since it is larger than the sum of its proper divisors (9939239).

72615961 is a wasteful number, since it uses less digits than its factorization.

72615961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840.

The product of its digits is 22680, while the sum is 37.

The square root of 72615961 is about 8521.4999266561. The cubic root of 72615961 is about 417.1997406042.

The spelling of 72615961 in words is "seventy-two million, six hundred fifteen thousand, nine hundred sixty-one".