9252000 has 144 divisors (see below), whose sum is σ = 32963112. Its totient is φ = 2457600.

The previous prime is 9251999. The next prime is 9252007. The reversal of 9252000 is 2529.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 3549456 = 2388^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (9252007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35872 + ... + 36128.

Almost surely, 2^9252000 is an apocalyptic number.

9252000 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 9252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481556).

9252000 is an abundant number, since it is smaller than the sum of its proper divisors (23711112).

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

9252000 is a wasteful number, since it uses less digits than its factorization.

9252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 9252000 is about 3041.7100453528. The cubic root of 9252000 is about 209.9319507405.

Adding to 9252000 its reverse (2529), we get a palindrome (9254529).

The spelling of 9252000 in words is "nine million, two hundred fifty-two thousand".