9272880 has 160 divisors (see below), whose sum is σ = 32944320. Its totient is φ = 2426112.

The previous prime is 9272873. The next prime is 9272899. The reversal of 9272880 is 882729.

9272880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 174934 + ... + 174986.

It is an arithmetic number, because the mean of its divisors is an integer number (205902).

Almost surely, 2^9272880 is an apocalyptic number.

9272880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9272880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472160).

9272880 is an abundant number, since it is smaller than the sum of its proper divisors (23671440).

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

9272880 is an equidigital number, since it uses as much as digits as its factorization.

9272880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9272880 is about 3045.1403908523. The cubic root of 9272880 is about 210.0897575490.

The spelling of 9272880 in words is "nine million, two hundred seventy-two thousand, eight hundred eighty".