9072312208000 has 256 divisors, whose sum is σ = 24706430330400. Its totient is φ = 3297681408000.

The previous prime is 9072312207943. The next prime is 9072312208007. The reversal of 9072312208000 is 8022132709.

It can be written as a sum of positive squares in 16 ways, for example, as 1120769464896 + 7951542743104 = 1058664^2 + 2819848^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (9072312208007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7312930 + ... + 8463070.

Almost surely, 2^{9072312208000} 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 9072312208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12353215165200).

9072312208000 is an abundant number, since it is smaller than the sum of its proper divisors (15634118122400).

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

9072312208000 is a wasteful number, since it uses less digits than its factorization.

9072312208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150216 (or 1150194 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 9072312208000 in words is "nine trillion, seventy-two billion, three hundred twelve million, two hundred eight thousand".