72738090000 has 675 divisors, whose sum is σ = 272222164929. Its totient is φ = 18123840000.

The previous prime is 72738089981. The next prime is 72738090017. The reversal of 72738090000 is 9083727.

The square root of 72738090000 is 269700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 54402763536 + 18335326464 = 233244^2 + 135408^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2346389985 + ... + 2346390015.

Almost surely, 2^72738090000 is an apocalyptic number.

72738090000 is the 269700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72738090000

72738090000 is an abundant number, since it is smaller than the sum of its proper divisors (199484074929).

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

72738090000 is a wasteful number, since it uses less digits than its factorization.

72738090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Multiplying 72738090000 by its sum of digits (36), we get a square (2618571240000 = 1618200²).

72738090000 divided by its sum of digits (36) gives a square (2020502500 = 44950²).

The spelling of 72738090000 in words is "seventy-two billion, seven hundred thirty-eight million, ninety thousand".