72859392000 has 768 divisors, whose sum is σ = 274743705600. Its totient is φ = 19043942400.

The previous prime is 72859391993. The next prime is 72859392007. The reversal of 72859392000 is 29395827.

It is an interprime number because it is at equal distance from previous prime (72859391993) and next prime (72859392007).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72859392007) 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, 573695937 + ... + 573696063.

It is an arithmetic number, because the mean of its divisors is an integer number (357739200).

Almost surely, 2^72859392000 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 72859392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137371852800).

72859392000 is an abundant number, since it is smaller than the sum of its proper divisors (201884313600).

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

72859392000 is a wasteful number, since it uses less digits than its factorization.

72859392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 72859392000 in words is "seventy-two billion, eight hundred fifty-nine million, three hundred ninety-two thousand".