72362381158080 has 896 divisors, whose sum is σ = 276901219526400. Its totient is φ = 17684074856448.

The previous prime is 72362381158073. The next prime is 72362381158121. The reversal of 72362381158080 is 8085118326327.

72362381158080 is a `hidden beast` number, since 7 + 2 + 3 + 623 + 8 + 1 + 1 + 5 + 8 + 0 + 8 + 0 = 666.

72362381158080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9035129116 + ... + 9035137124.

It is an arithmetic number, because the mean of its divisors is an integer number (309041539650).

Almost surely, 2^{72362381158080} 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 72362381158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138450609763200).

72362381158080 is an abundant number, since it is smaller than the sum of its proper divisors (204538838368320).

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

72362381158080 is a wasteful number, since it uses less digits than its factorization.

72362381158080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8618 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 72362381158080 in words is "seventy-two trillion, three hundred sixty-two billion, three hundred eighty-one million, one hundred fifty-eight thousand, eighty".