72900892000 has 192 divisors, whose sum is σ = 189176891904. Its totient is φ = 27553574400.

The previous prime is 72900891967. The next prime is 72900892079. The reversal of 72900892000 is 29800927.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7631227 + ... + 7640773.

It is an arithmetic number, because the mean of its divisors is an integer number (985296312).

Almost surely, 2^72900892000 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 72900892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94588445952).

72900892000 is an abundant number, since it is smaller than the sum of its proper divisors (116275999904).

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

72900892000 is a wasteful number, since it uses less digits than its factorization.

72900892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9678 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 72900892000 in words is "seventy-two billion, nine hundred million, eight hundred ninety-two thousand".