72157900776160 has 48 divisors (see below), whose sum is σ = 176351421304800. Its totient is φ = 27867878918656.

The previous prime is 72157900776139. The next prime is 72157900776173. The reversal of 72157900776160 is 6167700975127.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 72157900776095 and 72157900776104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7775631220 + ... + 7775640499.

It is an arithmetic number, because the mean of its divisors is an integer number (3673987943850).

Almost surely, 2^{72157900776160} is an apocalyptic number.

It is an amenable number.

72157900776160 is an abundant number, since it is smaller than the sum of its proper divisors (104193520528640).

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

72157900776160 is a wasteful number, since it uses less digits than its factorization.

72157900776160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15551271763 (or 15551271755 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 58.

The spelling of 72157900776160 in words is "seventy-two trillion, one hundred fifty-seven billion, nine hundred million, seven hundred seventy-six thousand, one hundred sixty".