72988261488 has 280 divisors, whose sum is σ = 221227257216. Its totient is φ = 23290675200.

The previous prime is 72988261349. The next prime is 72988261501. The reversal of 72988261488 is 88416288927.

72988261488 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 8 + 2 + 614 + 8 + 8 = 666.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 35072608 + ... + 35074688.

Almost surely, 2^72988261488 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 72988261488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110613628608).

72988261488 is an abundant number, since it is smaller than the sum of its proper divisors (148238995728).

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

72988261488 is a wasteful number, since it uses less digits than its factorization.

72988261488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2214 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 72988261488 in words is "seventy-two billion, nine hundred eighty-eight million, two hundred sixty-one thousand, four hundred eighty-eight".