72859078800 has 360 divisors, whose sum is σ = 267171899904. Its totient is φ = 19061153280.

The previous prime is 72859078763. The next prime is 72859078811. The reversal of 72859078800 is 887095827.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 5144529 + ... + 5158671.

Almost surely, 2^72859078800 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 72859078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585949952).

72859078800 is an abundant number, since it is smaller than the sum of its proper divisors (194312821104).

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

72859078800 is a wasteful number, since it uses less digits than its factorization.

72859078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14229 (or 14206 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 72859078800 in words is "seventy-two billion, eight hundred fifty-nine million, seventy-eight thousand, eight hundred".