72511516761 has 16 divisors (see below), whose sum is σ = 102062184000. Its totient is φ = 45665512128.

The previous prime is 72511516703. The next prime is 72511516769. The reversal of 72511516761 is 16761511527.

It is not a de Polignac number, because 72511516761 - 2¹⁰ = 72511515737 is a prime.

It is a super-2 number, since 2×72511516761² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72511516769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1802646 + ... + 1842431.

It is an arithmetic number, because the mean of its divisors is an integer number (6378886500).

Almost surely, 2^72511516761 is an apocalyptic number.

It is an amenable number.

72511516761 is a deficient number, since it is larger than the sum of its proper divisors (29550667239).

72511516761 is a wasteful number, since it uses less digits than its factorization.

72511516761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645448.

The product of its digits is 88200, while the sum is 42.

The spelling of 72511516761 in words is "seventy-two billion, five hundred eleven million, five hundred sixteen thousand, seven hundred sixty-one".