72890980104 has 128 divisors (see below), whose sum is σ = 201552986880. Its totient is φ = 21849907200.

The previous prime is 72890980051. The next prime is 72890980111. The reversal of 72890980104 is 40108909827.

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, 9952764 + ... + 9960084.

It is an arithmetic number, because the mean of its divisors is an integer number (1574632710).

Almost surely, 2^72890980104 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 72890980104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100776493440).

72890980104 is an abundant number, since it is smaller than the sum of its proper divisors (128662006776).

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

72890980104 is a wasteful number, since it uses less digits than its factorization.

72890980104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8431 (or 8427 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 72890980104 in words is "seventy-two billion, eight hundred ninety million, nine hundred eighty thousand, one hundred four".