2395872 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 768384.

The previous prime is 2395871. The next prime is 2395873. The reversal of 2395872 is 2785932.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2395871) and next prime (2395873).

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

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

It is a d-powerful number, because it can be written as 2²⁰ + 3⁹ + 9² + 5 + 8⁶ + 7⁵ + 2²⁰ .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2395871) 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, 40579 + ... + 40637.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^2395872 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 2395872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2395872 is an abundant number, since it is smaller than the sum of its proper divisors (4861728).

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

2395872 is a wasteful number, since it uses less digits than its factorization.

2395872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

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

The square root of 2395872 is about 1547.8604588270. The cubic root of 2395872 is about 133.8097843194.

Subtracting from 2395872 its product of digits (30240), we obtain a palindrome (2365632).

The spelling of 2395872 in words is "two million, three hundred ninety-five thousand, eight hundred seventy-two".