72407615460657 has 16 divisors (see below), whose sum is σ = 97539177601152. Its totient is φ = 47773902528000.

The previous prime is 72407615460647. The next prime is 72407615460737. The reversal of 72407615460657 is 75606451670427.

It is not a de Polignac number, because 72407615460657 - 2²⁸ = 72407347025201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72407615460657.

It is not an unprimeable number, because it can be changed into a prime (72407615460617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122361628 + ... + 122951954.

It is an arithmetic number, because the mean of its divisors is an integer number (6096198600072).

Almost surely, 2^{72407615460657} is an apocalyptic number.

It is an amenable number.

72407615460657 is a deficient number, since it is larger than the sum of its proper divisors (25131562140495).

72407615460657 is a wasteful number, since it uses less digits than its factorization.

72407615460657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011928.

The product of its (nonzero) digits is 59270400, while the sum is 60.

The spelling of 72407615460657 in words is "seventy-two trillion, four hundred seven billion, six hundred fifteen million, four hundred sixty thousand, six hundred fifty-seven".