72987606522720 has 864 divisors, whose sum is σ = 275377103531712. Its totient is φ = 17567912558592.

The previous prime is 72987606522707. The next prime is 72987606522749. The reversal of 72987606522720 is 2722560678927.

72987606522720 is a `hidden beast` number, since 7 + 2 + 9 + 87 + 6 + 0 + 6 + 522 + 7 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3072762364 + ... + 3072786116.

It is an arithmetic number, because the mean of its divisors is an integer number (318723499458).

Almost surely, 2^{72987606522720} 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 72987606522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137688551765856).

72987606522720 is an abundant number, since it is smaller than the sum of its proper divisors (202389497008992).

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

72987606522720 is a wasteful number, since it uses less digits than its factorization.

72987606522720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24092 (or 24062 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 72987606522720 in words is "seventy-two trillion, nine hundred eighty-seven billion, six hundred six million, five hundred twenty-two thousand, seven hundred twenty".