72084904320 has 512 divisors, whose sum is σ = 272668032000. Its totient is φ = 15968010240.

The previous prime is 72084904303. The next prime is 72084904321. The reversal of 72084904320 is 2340948027.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72084904321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28278406 + ... + 28280954.

It is an arithmetic number, because the mean of its divisors is an integer number (532554750).

Almost surely, 2^72084904320 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 72084904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136334016000).

72084904320 is an abundant number, since it is smaller than the sum of its proper divisors (200583127680).

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

72084904320 is a wasteful number, since it uses less digits than its factorization.

72084904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 72084904320 in words is "seventy-two billion, eighty-four million, nine hundred four thousand, three hundred twenty".