72727200612864 has 1200 divisors, whose sum is σ = 248959985016600. Its totient is φ = 20435295928320.

The previous prime is 72727200612841. The next prime is 72727200612881. The reversal of 72727200612864 is 46821600272727.

It can be written as a sum of positive squares in 4 ways, for example, as 47653065734400 + 25074134878464 = 6903120^2 + 5007408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72727200612864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 258815660404 + ... + 258815660684.

Almost surely, 2^{72727200612864} 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 72727200612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124479992508300).

72727200612864 is an abundant number, since it is smaller than the sum of its proper divisors (176232784403736).

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

72727200612864 is a wasteful number, since it uses less digits than its factorization.

72727200612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 72727200612864 in words is "seventy-two trillion, seven hundred twenty-seven billion, two hundred million, six hundred twelve thousand, eight hundred sixty-four".