72505899268 has 18 divisors (see below), whose sum is σ = 139468993118. Its totient is φ = 32957226720.

The previous prime is 72505899211. The next prime is 72505899331. The reversal of 72505899268 is 86299850527.

It can be written as a sum of positive squares in only one way, i.e., 65847665664 + 6658233604 = 256608^2 + 81598^2 .

It is a super-2 number, since 2×72505899268² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74902305 + ... + 74903272.

Almost surely, 2^72505899268 is an apocalyptic number.

It is an amenable number.

72505899268 is a deficient number, since it is larger than the sum of its proper divisors (66963093850).

72505899268 is a wasteful number, since it uses less digits than its factorization.

72505899268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149805603 (or 149805590 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 72505899268 in words is "seventy-two billion, five hundred five million, eight hundred ninety-nine thousand, two hundred sixty-eight".