9958872 has 128 divisors (see below), whose sum is σ = 32970240. Its totient is φ = 2426880.

The previous prime is 9958853. The next prime is 9958873. The reversal of 9958872 is 2788599.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9958873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31258 + ... + 31574.

It is an arithmetic number, because the mean of its divisors is an integer number (257580).

Almost surely, 2^9958872 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 9958872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485120).

9958872 is an abundant number, since it is smaller than the sum of its proper divisors (23011368).

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

9958872 is a wasteful number, since it uses less digits than its factorization.

9958872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 9958872 is about 3155.7680523131. The cubic root of 9958872 is about 215.1477045254.

The spelling of 9958872 in words is "nine million, nine hundred fifty-eight thousand, eight hundred seventy-two".