72381302784 has 384 divisors, whose sum is σ = 248787302400. Its totient is φ = 20364410880.

The previous prime is 72381302779. The next prime is 72381302809. The reversal of 72381302784 is 48720318327.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25932429 + ... + 25935219.

It is an arithmetic number, because the mean of its divisors is an integer number (647883600).

Almost surely, 2^72381302784 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 72381302784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124393651200).

72381302784 is an abundant number, since it is smaller than the sum of its proper divisors (176405999616).

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

72381302784 is a wasteful number, since it uses less digits than its factorization.

72381302784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 72381302784 in words is "seventy-two billion, three hundred eighty-one million, three hundred two thousand, seven hundred eighty-four".