9225792 has 112 divisors (see below), whose sum is σ = 28651200. Its totient is φ = 2903040.

The previous prime is 9225761. The next prime is 9225803. The reversal of 9225792 is 2975229.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 9⁴ + 2 + 2⁹ + 5 + 7⁷ + 9⁴ + 2²³ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32692 + ... + 32972.

Almost surely, 2^9225792 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 9225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325600).

9225792 is an abundant number, since it is smaller than the sum of its proper divisors (19425408).

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

9225792 is a wasteful number, since it uses less digits than its factorization.

9225792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 9225792 is about 3037.3988872060. The cubic root of 9225792 is about 209.7335395933.

The spelling of 9225792 in words is "nine million, two hundred twenty-five thousand, seven hundred ninety-two".