7823872 has 80 divisors (see below), whose sum is σ = 18659520. Its totient is φ = 3207168.

The previous prime is 7823869. The next prime is 7823891. The reversal of 7823872 is 2783287.

It is a super-3 number, since 3×7823872³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132579 + ... + 132637.

It is an arithmetic number, because the mean of its divisors is an integer number (233244).

Almost surely, 2^7823872 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 7823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329760).

7823872 is an abundant number, since it is smaller than the sum of its proper divisors (10835648).

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

7823872 is an equidigital number, since it uses as much as digits as its factorization.

7823872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 7823872 is about 2797.1185173317. The cubic root of 7823872 is about 198.5213617518.

The spelling of 7823872 in words is "seven million, eight hundred twenty-three thousand, eight hundred seventy-two".