72513251236517 has 96 divisors (see below), whose sum is σ = 93181910976000. Its totient is φ = 55901268605952.

The previous prime is 72513251236513. The next prime is 72513251236529. The reversal of 72513251236517 is 71563215231527.

It is not a de Polignac number, because 72513251236517 - 2² = 72513251236513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72513251236513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30506204633 + ... + 30506207009.

It is an arithmetic number, because the mean of its divisors is an integer number (970644906000).

Almost surely, 2^{72513251236517} is an apocalyptic number.

It is an amenable number.

72513251236517 is a deficient number, since it is larger than the sum of its proper divisors (20668659739483).

72513251236517 is a wasteful number, since it uses less digits than its factorization.

72513251236517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4715 (or 4708 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 50.

The spelling of 72513251236517 in words is "seventy-two trillion, five hundred thirteen billion, two hundred fifty-one million, two hundred thirty-six thousand, five hundred seventeen".