72812648304 has 480 divisors, whose sum is σ = 240987700800. Its totient is φ = 21267671040.

The previous prime is 72812648299. The next prime is 72812648357. The reversal of 72812648304 is 40384621827.

It is a happy number.

72812648304 is a `hidden beast` number, since 7 + 2 + 81 + 264 + 8 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72812648304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122786632 + ... + 122787224.

It is an arithmetic number, because the mean of its divisors is an integer number (502057710).

Almost surely, 2^72812648304 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 72812648304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120493850400).

72812648304 is an abundant number, since it is smaller than the sum of its proper divisors (168175052496).

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

72812648304 is a wasteful number, since it uses less digits than its factorization.

72812648304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 72812648304 in words is "seventy-two billion, eight hundred twelve million, six hundred forty-eight thousand, three hundred four".