9958752 has 72 divisors (see below), whose sum is σ = 28632240. Its totient is φ = 3283200.

The previous prime is 9958723. The next prime is 9958759. The reversal of 9958752 is 2578599.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 9958698 and 9958707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9958759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43374 + ... + 43602.

It is an arithmetic number, because the mean of its divisors is an integer number (397670).

Almost surely, 2^9958752 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 9958752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316120).

9958752 is an abundant number, since it is smaller than the sum of its proper divisors (18673488).

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

9958752 is a wasteful number, since it uses less digits than its factorization.

9958752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 9958752 is about 3155.7490394516. The cubic root of 9958752 is about 215.1468403770.

The spelling of 9958752 in words is "nine million, nine hundred fifty-eight thousand, seven hundred fifty-two".