72317966400 has 567 divisors, whose sum is σ = 270162030541. Its totient is φ = 19052444160.

The previous prime is 72317966389. The next prime is 72317966423. The reversal of 72317966400 is 466971327.

The square root of 72317966400 is 268920.

It is a perfect power (a square), and thus also a powerful number.

72317966400 is a `hidden beast` number, since 7 + 231 + 7 + 9 + 6 + 6 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26034467904 + 46283498496 = 161352^2 + 215136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 871300759 + ... + 871300841.

Almost surely, 2^72317966400 is an apocalyptic number.

72317966400 is the 268920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72317966400

72317966400 is an abundant number, since it is smaller than the sum of its proper divisors (197844064141).

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

72317966400 is an frugal number, since it uses more digits than its factorization.

72317966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 72317966400 in words is "seventy-two billion, three hundred seventeen million, nine hundred sixty-six thousand, four hundred".