9752120 has 64 divisors (see below), whose sum is σ = 25963200. Its totient is φ = 3225600.

The previous prime is 9752117. The next prime is 9752153. The reversal of 9752120 is 212579.

It is a self number, because there is not a number n which added to its sum of digits gives 9752120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7520 + ... + 8720.

It is an arithmetic number, because the mean of its divisors is an integer number (405675).

Almost surely, 2^9752120 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 9752120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981600).

9752120 is an abundant number, since it is smaller than the sum of its proper divisors (16211080).

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

9752120 is a wasteful number, since it uses less digits than its factorization.

9752120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 9752120 is about 3122.8384524339. The cubic root of 9752120 is about 213.6484167857.

Adding to 9752120 its reverse (212579), we get a palindrome (9964699).

The spelling of 9752120 in words is "nine million, seven hundred fifty-two thousand, one hundred twenty".