72344414824704 has 729 divisors, whose sum is σ = 233166294766587. Its totient is φ = 21556470988800.

The previous prime is 72344414824687. The next prime is 72344414824711. The reversal of 72344414824704 is 40742841444327.

The square root of 72344414824704 is 8505552.

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

72344414824704 is a `hidden beast` number, since 7 + 23 + 4 + 4 + 4 + 148 + 2 + 470 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52012251650304 + 20332163174400 = 7211952^2 + 4509120^2 .

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, 399692899494 + ... + 399692899674.

Almost surely, 2^{72344414824704} is an apocalyptic number.

72344414824704 is the 8505552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72344414824704

72344414824704 is an abundant number, since it is smaller than the sum of its proper divisors (160821879941883).

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

72344414824704 is an equidigital number, since it uses as much as digits as its factorization.

72344414824704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 54.

The spelling of 72344414824704 in words is "seventy-two trillion, three hundred forty-four billion, four hundred fourteen million, eight hundred twenty-four thousand, seven hundred four".