9252144 has 150 divisors (see below), whose sum is σ = 29932980. Its totient is φ = 2756160.

The previous prime is 9252143. The next prime is 9252149. The reversal of 9252144 is 4412529.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9252143) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156787 + ... + 156845.

Almost surely, 2^9252144 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 9252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966490).

9252144 is an abundant number, since it is smaller than the sum of its proper divisors (20680836).

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

9252144 is a wasteful number, since it uses less digits than its factorization.

9252144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 9252144 is about 3041.7337161560. The cubic root of 9252144 is about 209.9330398760.

The spelling of 9252144 in words is "nine million, two hundred fifty-two thousand, one hundred forty-four".