72247968000 has 864 divisors, whose sum is σ = 292487569920. Its totient is φ = 16990617600.

The previous prime is 72247967983. The next prime is 72247968017. The reversal of 72247968000 is 86974227.

It is an interprime number because it is at equal distance from previous prime (72247967983) and next prime (72247968017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86111581 + ... + 86112419.

It is an arithmetic number, because the mean of its divisors is an integer number (338527280).

Almost surely, 2^72247968000 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 72247968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146243784960).

72247968000 is an abundant number, since it is smaller than the sum of its proper divisors (220239601920).

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

72247968000 is a wasteful number, since it uses less digits than its factorization.

72247968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72247968000 in words is "seventy-two billion, two hundred forty-seven million, nine hundred sixty-eight thousand".