72327359520000 has 3240 divisors, whose sum is σ = 309061514001240. Its totient is φ = 16143482880000.

The previous prime is 72327359519981. The next prime is 72327359520023. The reversal of 72327359520000 is 2595372327.

72327359520000 is a `hidden beast` number, since 7 + 2 + 3 + 2 + 73 + 59 + 520 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 60 ways, for example, as 45422639495424 + 26904720024576 = 6739632^2 + 5186976^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 156892319770 + ... + 156892320230.

Almost surely, 2^{72327359520000} 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 72327359520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154530757000620).

72327359520000 is an abundant number, since it is smaller than the sum of its proper divisors (236734154481240).

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

72327359520000 is a wasteful number, since it uses less digits than its factorization.

72327359520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 72327359520000 in words is "seventy-two trillion, three hundred twenty-seven billion, three hundred fifty-nine million, five hundred twenty thousand".