72990720000 has 900 divisors, whose sum is σ = 297273307716. Its totient is φ = 17694720000.

The previous prime is 72990719981. The next prime is 72990720043. The reversal of 72990720000 is 2709927.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×72990720000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6635519995 + ... + 6635520005.

Almost surely, 2^72990720000 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 72990720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148636653858).

72990720000 is an abundant number, since it is smaller than the sum of its proper divisors (224282587716).

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

72990720000 is an frugal number, since it uses more digits than its factorization.

72990720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 72990720000 in words is "seventy-two billion, nine hundred ninety million, seven hundred twenty thousand".