9007072816 has 80 divisors (see below), whose sum is σ = 21671311360. Its totient is φ = 3539013120.

The previous prime is 9007072813. The next prime is 9007072829. The reversal of 9007072816 is 6182707009.

It is a super-2 number, since 2×9007072816² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9007072813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2301 + ... + 134236.

It is an arithmetic number, because the mean of its divisors is an integer number (270891392).

Almost surely, 2^9007072816 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 9007072816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835655680).

9007072816 is an abundant number, since it is smaller than the sum of its proper divisors (12664238544).

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

9007072816 is a wasteful number, since it uses less digits than its factorization.

9007072816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136602 (or 136596 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 9007072816 is about 94905.5994976060. The cubic root of 9007072816 is about 2080.6285711228.

The spelling of 9007072816 in words is "nine billion, seven million, seventy-two thousand, eight hundred sixteen".