72588487680 has 528 divisors, whose sum is σ = 280386269280. Its totient is φ = 17255890944.

The previous prime is 72588487639. The next prime is 72588487691. The reversal of 72588487680 is 8678488527.

72588487680 is a `hidden beast` number, since 7 + 2 + 588 + 48 + 7 + 6 + 8 + 0 = 666.

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, 14881402 + ... + 14886278.

Almost surely, 2^72588487680 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 72588487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140193134640).

72588487680 is an abundant number, since it is smaller than the sum of its proper divisors (207797781600).

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

72588487680 is a wasteful number, since it uses less digits than its factorization.

72588487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 72588487680 in words is "seventy-two billion, five hundred eighty-eight million, four hundred eighty-seven thousand, six hundred eighty".