72586225920 has 576 divisors, whose sum is σ = 265702993920. Its totient is φ = 16740089856.

The previous prime is 72586225919. The next prime is 72586225937. The reversal of 72586225920 is 2952268527.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72586225920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97693069 + ... + 97693811.

It is an arithmetic number, because the mean of its divisors is an integer number (461289920).

Almost surely, 2^72586225920 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 72586225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132851496960).

72586225920 is an abundant number, since it is smaller than the sum of its proper divisors (193116768000).

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

72586225920 is a wasteful number, since it uses less digits than its factorization.

72586225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 72586225920 in words is "seventy-two billion, five hundred eighty-six million, two hundred twenty-five thousand, nine hundred twenty".