9523872 has 96 divisors (see below), whose sum is σ = 28344960. Its totient is φ = 3110400.

The previous prime is 9523853. The next prime is 9523873. The reversal of 9523872 is 2783259.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9523873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62997 + ... + 63147.

It is an arithmetic number, because the mean of its divisors is an integer number (295260).

Almost surely, 2^9523872 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 9523872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172480).

9523872 is an abundant number, since it is smaller than the sum of its proper divisors (18821088).

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

9523872 is a wasteful number, since it uses less digits than its factorization.

9523872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 9523872 is about 3086.0771215250. The cubic root of 9523872 is about 211.9684300919.

The spelling of 9523872 in words is "nine million, five hundred twenty-three thousand, eight hundred seventy-two".