72650985742400 has 252 divisors, whose sum is σ = 198807727407372. Its totient is φ = 26099976314880.

The previous prime is 72650985742399. The next prime is 72650985742417. The reversal of 72650985742400 is 424758905627.

It can be written as a sum of positive squares in 18 ways, for example, as 70807647313984 + 1843338428416 = 8414728^2 + 1357696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72650985742400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6373994 + ... + 13635606.

Almost surely, 2^{72650985742400} 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 72650985742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99403863703686).

72650985742400 is an abundant number, since it is smaller than the sum of its proper divisors (126156741664972).

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

72650985742400 is a wasteful number, since it uses less digits than its factorization.

72650985742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261698 (or 7261670 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 59.

The spelling of 72650985742400 in words is "seventy-two trillion, six hundred fifty billion, nine hundred eighty-five million, seven hundred forty-two thousand, four hundred".