72794880000 has 720 divisors, whose sum is σ = 269415946800. Its totient is φ = 18923520000.

The previous prime is 72794879999. The next prime is 72794880013. The reversal of 72794880000 is 8849727.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 817919956 + ... + 817920044.

It is an arithmetic number, because the mean of its divisors is an integer number (374188815).

Almost surely, 2^72794880000 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 72794880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134707973400).

72794880000 is an abundant number, since it is smaller than the sum of its proper divisors (196621066800).

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

72794880000 is an equidigital number, since it uses as much as digits as its factorization.

72794880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 72794880000 in words is "seventy-two billion, seven hundred ninety-four million, eight hundred eighty thousand".