9288972 has 96 divisors (see below), whose sum is σ = 30051840. Its totient is φ = 2410560.

The previous prime is 9288971. The next prime is 9288973. The reversal of 9288972 is 2798829.

9288972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9288971) and next prime (9288973).

It is not an unprimeable number, because it can be changed into a prime (9288971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7758 + ... + 8874.

It is an arithmetic number, because the mean of its divisors is an integer number (313040).

Almost surely, 2^9288972 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 9288972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025920).

9288972 is an abundant number, since it is smaller than the sum of its proper divisors (20762868).

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

9288972 is a wasteful number, since it uses less digits than its factorization.

9288972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 9288972 is about 3047.7814882304. The cubic root of 9288972 is about 210.2112160610.

The spelling of 9288972 in words is "nine million, two hundred eighty-eight thousand, nine hundred seventy-two".