72886388473584 has 560 divisors, whose sum is σ = 255407863802880. Its totient is φ = 19674736289280.

The previous prime is 72886388473579. The next prime is 72886388473669. The reversal of 72886388473584 is 48537488368827.

72886388473584 is a `hidden beast` number, since 7 + 2 + 8 + 8 + 63 + 8 + 8 + 473 + 5 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 569267494 + ... + 569395514.

Almost surely, 2^{72886388473584} 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 72886388473584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127703931901440).

72886388473584 is an abundant number, since it is smaller than the sum of its proper divisors (182521475329296).

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

72886388473584 is a wasteful number, since it uses less digits than its factorization.

72886388473584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128440 (or 128419 counting only the distinct ones).

The product of its digits is 13872660480, while the sum is 81.

The spelling of 72886388473584 in words is "seventy-two trillion, eight hundred eighty-six billion, three hundred eighty-eight million, four hundred seventy-three thousand, five hundred eighty-four".