7825872 has 40 divisors (see below), whose sum is σ = 21283360. Its totient is φ = 2471040.

The previous prime is 7825861. The next prime is 7825889. The reversal of 7825872 is 2785287.

It is a super-2 number, since 2×7825872² = 122488545120768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7825872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3379 + ... + 5202.

It is an arithmetic number, because the mean of its divisors is an integer number (532084).

Almost surely, 2^7825872 is an apocalyptic number.

It is an amenable number.

7825872 is an abundant number, since it is smaller than the sum of its proper divisors (13457488).

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

7825872 is a wasteful number, since it uses less digits than its factorization.

7825872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611 (or 8605 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 7825872 is about 2797.4760052590. The cubic root of 7825872 is about 198.5382761771.

The spelling of 7825872 in words is "seven million, eight hundred twenty-five thousand, eight hundred seventy-two".