72487005566976 has 4032 divisors, whose sum is σ = 306024655154400. Its totient is φ = 16955611545600.

The previous prime is 72487005566891. The next prime is 72487005566981. The reversal of 72487005566976 is 67966550078427.

72487005566976 is a `hidden beast` number, since 7 + 2 + 4 + 8 + 7 + 0 + 0 + 556 + 69 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1767975745516 + ... + 1767975745556.

Almost surely, 2^{72487005566976} 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 72487005566976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153012327577200).

72487005566976 is an abundant number, since it is smaller than the sum of its proper divisors (233537649587424).

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

72487005566976 is an equidigital number, since it uses as much as digits as its factorization.

72487005566976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 72487005566976 in words is "seventy-two trillion, four hundred eighty-seven billion, five million, five hundred sixty-six thousand, nine hundred seventy-six".