9257472 has 180 divisors, whose sum is σ = 31837806. Its totient is φ = 2580480.

The previous prime is 9257471. The next prime is 9257473. The reversal of 9257472 is 2747529.

It is an interprime number because it is at equal distance from previous prime (9257471) and next prime (9257473).

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 112896 = 3024^2 + 336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9257471) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225772 + ... + 225812.

Almost surely, 2^9257472 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 9257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918903).

9257472 is an abundant number, since it is smaller than the sum of its proper divisors (22580334).

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

9257472 is a wasteful number, since it uses less digits than its factorization.

9257472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 9257472 is about 3042.6094064142. The cubic root of 9257472 is about 209.9733299464.

The spelling of 9257472 in words is "nine million, two hundred fifty-seven thousand, four hundred seventy-two".