72960379720800 has 2592 divisors, whose sum is σ = 301737130775136. Its totient is φ = 15241111142400.

The previous prime is 72960379720751. The next prime is 72960379720831. The reversal of 72960379720800 is 802797306927.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 130988114122 + ... + 130988114678.

It is an arithmetic number, because the mean of its divisors is an integer number (116410930083).

Almost surely, 2^{72960379720800} 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 72960379720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150868565387568).

72960379720800 is an abundant number, since it is smaller than the sum of its proper divisors (228776751054336).

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

72960379720800 is a wasteful number, since it uses less digits than its factorization.

72960379720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 72960379720800 in words is "seventy-two trillion, nine hundred sixty billion, three hundred seventy-nine million, seven hundred twenty thousand, eight hundred".