72230744793600 has 720 divisors, whose sum is σ = 282528671293440. Its totient is φ = 17543695564800.

The previous prime is 72230744793577. The next prime is 72230744793637. The reversal of 72230744793600 is 639744703227.

72230744793600 is a `hidden beast` number, since 7 + 2 + 23 + 0 + 7 + 4 + 4 + 7 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 60115521 + ... + 61305279.

It is an arithmetic number, because the mean of its divisors is an integer number (392400932352).

Almost surely, 2^{72230744793600} 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 72230744793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141264335646720).

72230744793600 is an abundant number, since it is smaller than the sum of its proper divisors (210297926499840).

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

72230744793600 is a wasteful number, since it uses less digits than its factorization.

72230744793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189841 (or 1189817 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 72230744793600 in words is "seventy-two trillion, two hundred thirty billion, seven hundred forty-four million, seven hundred ninety-three thousand, six hundred".