9952872 has 16 divisors (see below), whose sum is σ = 24882240. Its totient is φ = 3317616.

The previous prime is 9952853. The next prime is 9952897. The reversal of 9952872 is 2782599.

It is a super-3 number, since 3×9952872³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 207328 + ... + 207375.

It is an arithmetic number, because the mean of its divisors is an integer number (1555140).

Almost surely, 2^9952872 is an apocalyptic number.

It is an amenable number.

9952872 is an abundant number, since it is smaller than the sum of its proper divisors (14929368).

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

9952872 is a wasteful number, since it uses less digits than its factorization.

9952872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414712 (or 414708 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 9952872 is about 3154.8172688763. The cubic root of 9952872 is about 215.1044886017.

The spelling of 9952872 in words is "nine million, nine hundred fifty-two thousand, eight hundred seventy-two".