72516717 has 72 divisors (see below), whose sum is σ = 133224000. Its totient is φ = 37975392.

The previous prime is 72516709. The next prime is 72516767. The reversal of 72516717 is 71761527.

72516717 is a `hidden beast` number, since 72 + 516 + 71 + 7 = 666.

It is not a de Polignac number, because 72516717 - 2³ = 72516709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72516767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 521634 + ... + 521772.

Almost surely, 2^72516717 is an apocalyptic number.

It is an amenable number.

72516717 is a deficient number, since it is larger than the sum of its proper divisors (60707283).

72516717 is a wasteful number, since it uses less digits than its factorization.

72516717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 72516717 is about 8515.6747824233. The cubic root of 72516717 is about 417.0095921055.

The spelling of 72516717 in words is "seventy-two million, five hundred sixteen thousand, seven hundred seventeen".