9752320 has 72 divisors (see below), whose sum is σ = 24650640. Its totient is φ = 3686400.

The previous prime is 9752317. The next prime is 9752333. The reversal of 9752320 is 232579.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24120 + ... + 24520.

It is an arithmetic number, because the mean of its divisors is an integer number (342370).

Almost surely, 2^9752320 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 9752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325320).

9752320 is an abundant number, since it is smaller than the sum of its proper divisors (14898320).

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

9752320 is a wasteful number, since it uses less digits than its factorization.

9752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 9752320 is about 3122.8704744193. The cubic root of 9752320 is about 213.6498773020.

Adding to 9752320 its reverse (232579), we get a palindrome (9984899).

The spelling of 9752320 in words is "nine million, seven hundred fifty-two thousand, three hundred twenty".