72761569488000 has 1024 divisors, whose sum is σ = 270713987481600. Its totient is φ = 19207673856000.

The previous prime is 72761569487851. The next prime is 72761569488031. The reversal of 72761569488000 is 88496516727.

72761569488000 is a `hidden beast` number, since 7 + 2 + 7 + 61 + 569 + 4 + 8 + 8 + 0 + 0 + 0 = 666.

72761569488000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 30559246810 + ... + 30559249190.

It is an arithmetic number, because the mean of its divisors is an integer number (264369128400).

Almost surely, 2^{72761569488000} 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 72761569488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135356993740800).

72761569488000 is an abundant number, since it is smaller than the sum of its proper divisors (197952417993600).

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

72761569488000 is a wasteful number, since it uses less digits than its factorization.

72761569488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 72761569488000 in words is "seventy-two trillion, seven hundred sixty-one billion, five hundred sixty-nine million, four hundred eighty-eight thousand".