72673058304 has 640 divisors, whose sum is σ = 272468275200. Its totient is φ = 18576138240.

The previous prime is 72673058291. The next prime is 72673058321. The reversal of 72673058304 is 40385037627.

72673058304 is a `hidden beast` number, since 7 + 2 + 67 + 3 + 0 + 583 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72673058304.

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 63 ways as a sum of consecutive naturals, for example, 71317507 + ... + 71318525.

It is an arithmetic number, because the mean of its divisors is an integer number (425731680).

Almost surely, 2^72673058304 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 72673058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136234137600).

72673058304 is an abundant number, since it is smaller than the sum of its proper divisors (199795216896).

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

72673058304 is a wasteful number, since it uses less digits than its factorization.

72673058304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 72673058304 in words is "seventy-two billion, six hundred seventy-three million, fifty-eight thousand, three hundred four".