72689220513 has 48 divisors (see below), whose sum is σ = 131154115456. Its totient is φ = 37769276160.

The previous prime is 72689220511. The next prime is 72689220521. The reversal of 72689220513 is 31502298627.

72689220513 is a `hidden beast` number, since 7 + 26 + 8 + 92 + 20 + 513 = 666.

It is not a de Polignac number, because 72689220513 - 2¹ = 72689220511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72689220511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607468 + ... + 717213.

Almost surely, 2^72689220513 is an apocalyptic number.

It is an amenable number.

72689220513 is a deficient number, since it is larger than the sum of its proper divisors (58464894943).

72689220513 is a wasteful number, since it uses less digits than its factorization.

72689220513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324774 (or 1324771 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 72689220513 in words is "seventy-two billion, six hundred eighty-nine million, two hundred twenty thousand, five hundred thirteen".