72268742304 has 144 divisors (see below), whose sum is σ = 235997405280. Its totient is φ = 20746990080.

The previous prime is 72268742297. The next prime is 72268742363. The reversal of 72268742304 is 40324786227.

72268742304 is a `hidden beast` number, since 7 + 226 + 87 + 42 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×72268742304² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72268742304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540127 + ... + 660510.

It is an arithmetic number, because the mean of its divisors is an integer number (1638870870).

Almost surely, 2^72268742304 is an apocalyptic number.

It is an amenable number.

72268742304 is an abundant number, since it is smaller than the sum of its proper divisors (163728662976).

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

72268742304 is a wasteful number, since it uses less digits than its factorization.

72268742304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200683 (or 1200672 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 72268742304 in words is "seventy-two billion, two hundred sixty-eight million, seven hundred forty-two thousand, three hundred four".