9005112720 has 120 divisors (see below), whose sum is σ = 31557105216. Its totient is φ = 2296952064.

The previous prime is 9005112713. The next prime is 9005112731. The reversal of 9005112720 is 272115009.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255334 + ... + 288453.

Almost surely, 2^9005112720 is an apocalyptic number.

9005112720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9005112720 is an abundant number, since it is smaller than the sum of its proper divisors (22551992496).

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

9005112720 is a wasteful number, since it uses less digits than its factorization.

9005112720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543829 (or 543820 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 9005112720 is about 94895.2723796080. The cubic root of 9005112720 is about 2080.4776331622.

Adding to 9005112720 its reverse (272115009), we get a palindrome (9277227729).

The spelling of 9005112720 in words is "nine billion, five million, one hundred twelve thousand, seven hundred twenty".