72916005888 has 528 divisors, whose sum is σ = 240449332032. Its totient is φ = 21086208000.

The previous prime is 72916005871. The next prime is 72916005901. The reversal of 72916005888 is 88850061927.

72916005888 is a `hidden beast` number, since 7 + 29 + 1 + 600 + 5 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220289883 + ... + 220290213.

Almost surely, 2^72916005888 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 72916005888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120224666016).

72916005888 is an abundant number, since it is smaller than the sum of its proper divisors (167533326144).

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

72916005888 is a wasteful number, since it uses less digits than its factorization.

72916005888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 72916005888 in words is "seventy-two billion, nine hundred sixteen million, five thousand, eight hundred eighty-eight".