72579253880160 has 672 divisors, whose sum is σ = 274501844483328. Its totient is φ = 18082406200320.

The previous prime is 72579253880153. The next prime is 72579253880167. The reversal of 72579253880160 is 6108835297527.

72579253880160 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 9 + 2 + 538 + 80 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72579253880153) and next prime (72579253880167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72579253880167) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 115042375 + ... + 115671545.

It is an arithmetic number, because the mean of its divisors is an integer number (408484887624).

Almost surely, 2^{72579253880160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72579253880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137250922241664).

72579253880160 is an abundant number, since it is smaller than the sum of its proper divisors (201922590603168).

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

72579253880160 is a wasteful number, since it uses less digits than its factorization.

72579253880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629270 (or 629247 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 72579253880160 in words is "seventy-two trillion, five hundred seventy-nine billion, two hundred fifty-three million, eight hundred eighty thousand, one hundred sixty".