72978173698560 has 160 divisors (see below), whose sum is σ = 251248414697280. Its totient is φ = 17963858116608.

The previous prime is 72978173698553. The next prime is 72978173698681. The reversal of 72978173698560 is 6589637187927.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365375790 + ... + 365575469.

It is an arithmetic number, because the mean of its divisors is an integer number (1570302591858).

Almost surely, 2^{72978173698560} is an apocalyptic number.

It is an amenable number.

72978173698560 is an abundant number, since it is smaller than the sum of its proper divisors (178270240998720).

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

72978173698560 is a wasteful number, since it uses less digits than its factorization.

72978173698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730951298 (or 730951282 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 78.

The spelling of 72978173698560 in words is "seventy-two trillion, nine hundred seventy-eight billion, one hundred seventy-three million, six hundred ninety-eight thousand, five hundred sixty".