72328020480 has 480 divisors, whose sum is σ = 279215164800. Its totient is φ = 17195728896.

The previous prime is 72328020449. The next prime is 72328020493. The reversal of 72328020480 is 8402082327.

72328020480 is a `hidden beast` number, since 72 + 32 + 80 + 2 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7437061 + ... + 7446779.

It is an arithmetic number, because the mean of its divisors is an integer number (581698260).

Almost surely, 2^72328020480 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 72328020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139607582400).

72328020480 is an abundant number, since it is smaller than the sum of its proper divisors (206887144320).

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

72328020480 is a wasteful number, since it uses less digits than its factorization.

72328020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9784 (or 9765 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 72328020480 in words is "seventy-two billion, three hundred twenty-eight million, twenty thousand, four hundred eighty".