72159815808 has 384 divisors, whose sum is σ = 221517953280. Its totient is φ = 22500605952.

The previous prime is 72159815807. The next prime is 72159815837. The reversal of 72159815808 is 80851895127.

72159815808 is a `hidden beast` number, since 7 + 2 + 1 + 59 + 8 + 1 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (72159815803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373884960 + ... + 373885152.

It is an arithmetic number, because the mean of its divisors is an integer number (576869670).

Almost surely, 2^72159815808 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 72159815808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110758976640).

72159815808 is an abundant number, since it is smaller than the sum of its proper divisors (149358137472).

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

72159815808 is a wasteful number, since it uses less digits than its factorization.

72159815808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 72159815808 in words is "seventy-two billion, one hundred fifty-nine million, eight hundred fifteen thousand, eight hundred eight".