72381517824 has 416 divisors, whose sum is σ = 242392790016. Its totient is φ = 18662031360.

The previous prime is 72381517823. The next prime is 72381517829. The reversal of 72381517824 is 42871518327.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72381517823) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 214781784 + ... + 214782120.

It is an arithmetic number, because the mean of its divisors is an integer number (582674976).

Almost surely, 2^72381517824 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 72381517824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121196395008).

72381517824 is an abundant number, since it is smaller than the sum of its proper divisors (170011272192).

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

72381517824 is a wasteful number, since it uses less digits than its factorization.

72381517824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 587 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The spelling of 72381517824 in words is "seventy-two billion, three hundred eighty-one million, five hundred seventeen thousand, eight hundred twenty-four".