72768672497664 has 2112 divisors, whose sum is σ = 274904684947200. Its totient is φ = 18835109314560.

The previous prime is 72768672497513. The next prime is 72768672497681. The reversal of 72768672497664 is 46679427686727.

72768672497664 is a `hidden beast` number, since 7 + 2 + 7 + 6 + 8 + 67 + 2 + 497 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1692294709227 + ... + 1692294709269.

It is an arithmetic number, because the mean of its divisors is an integer number (130163203100).

Almost surely, 2^{72768672497664} 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 72768672497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137452342473600).

72768672497664 is an abundant number, since it is smaller than the sum of its proper divisors (202136012449536).

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

72768672497664 is an equidigital number, since it uses as much as digits as its factorization.

72768672497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 91 counting only the distinct ones).

The product of its digits is 14338695168, while the sum is 81.

The spelling of 72768672497664 in words is "seventy-two trillion, seven hundred sixty-eight billion, six hundred seventy-two million, four hundred ninety-seven thousand, six hundred sixty-four".