72007778304 has 768 divisors, whose sum is σ = 272541715200. Its totient is φ = 18579456000.

The previous prime is 72007778263. The next prime is 72007778317. The reversal of 72007778304 is 40387770027.

72007778304 is a `hidden beast` number, since 7 + 200 + 77 + 78 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 72007778304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476872629 + ... + 476872779.

It is an arithmetic number, because the mean of its divisors is an integer number (354872025).

Almost surely, 2^72007778304 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 72007778304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136270857600).

72007778304 is an abundant number, since it is smaller than the sum of its proper divisors (200533936896).

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

72007778304 is a wasteful number, since it uses less digits than its factorization.

72007778304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 72007778304 in words is "seventy-two billion, seven million, seven hundred seventy-eight thousand, three hundred four".