72960000000 has 480 divisors, whose sum is σ = 255991532160. Its totient is φ = 18432000000.

The previous prime is 72959999993. The next prime is 72960000011. The reversal of 72960000000 is 6927.

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 (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3839999991 + ... + 3840000009.

It is an arithmetic number, because the mean of its divisors is an integer number (533315692).

Almost surely, 2^72960000000 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 72960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127995766080).

72960000000 is an abundant number, since it is smaller than the sum of its proper divisors (183031532160).

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

72960000000 is an frugal number, since it uses more digits than its factorization.

72960000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 72960000000 its reverse (6927), we get a palindrome (72960006927).

The spelling of 72960000000 in words is "seventy-two billion, nine hundred sixty million", and thus it is an aban number.