9097108272 has 320 divisors, whose sum is σ = 31755110400. Its totient is φ = 2434129920.

The previous prime is 9097108259. The next prime is 9097108277. The reversal of 9097108272 is 2728017909.

9097108272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9097108277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15987604 + ... + 15988172.

It is an arithmetic number, because the mean of its divisors is an integer number (99234720).

Almost surely, 2^9097108272 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 9097108272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877555200).

9097108272 is an abundant number, since it is smaller than the sum of its proper divisors (22658002128).

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

9097108272 is a wasteful number, since it uses less digits than its factorization.

9097108272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 9097108272 is about 95378.7621643309. The cubic root of 9097108272 is about 2087.5383111857.

The spelling of 9097108272 in words is "nine billion, ninety-seven million, one hundred eight thousand, two hundred seventy-two".