72663710661756 has 84 divisors (see below), whose sum is σ = 191653219411584. Its totient is φ = 24094423944000.

The previous prime is 72663710661733. The next prime is 72663710661761. The reversal of 72663710661756 is 65716601736627.

It is a happy number.

72663710661756 is a `hidden beast` number, since 7 + 2 + 6 + 6 + 3 + 7 + 1 + 0 + 6 + 617 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72663710661693 and 72663710661702.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 64675945 + ... + 65789856.

It is an arithmetic number, because the mean of its divisors is an integer number (2281585945376).

Almost surely, 2^{72663710661756} is an apocalyptic number.

It is an amenable number.

72663710661756 is an abundant number, since it is smaller than the sum of its proper divisors (118989508749828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72663710661756 is a wasteful number, since it uses less digits than its factorization.

72663710661756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130466014 (or 130465997 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 72663710661756 in words is "seventy-two trillion, six hundred sixty-three billion, seven hundred ten million, six hundred sixty-one thousand, seven hundred fifty-six".