9727952 has 20 divisors (see below), whose sum is σ = 20298180. Its totient is φ = 4489728.

The previous prime is 9727951. The next prime is 9727957. The reversal of 9727952 is 2597279.

It is a happy number.

9727952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1752976 + 7974976 = 1324^2 + 2824^2 .

It is a super-2 number, since 2×9727952² = 189266100228608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9727951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23177 + ... + 23592.

It is an arithmetic number, because the mean of its divisors is an integer number (1014909).

Almost surely, 2^9727952 is an apocalyptic number.

It is an amenable number.

9727952 is an abundant number, since it is smaller than the sum of its proper divisors (10570228).

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

9727952 is a wasteful number, since it uses less digits than its factorization.

9727952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46790 (or 46784 counting only the distinct ones).

The product of its digits is 79380, while the sum is 41.

The square root of 9727952 is about 3118.9664954917. The cubic root of 9727952 is about 213.4717807917.

The spelling of 9727952 in words is "nine million, seven hundred twenty-seven thousand, nine hundred fifty-two".