7983872 has 36 divisors (see below), whose sum is σ = 17169600. Its totient is φ = 3683328.

The previous prime is 7983869. The next prime is 7983883. The reversal of 7983872 is 2783897.

It is a happy number.

It is a super-2 number, since 2×7983872² = 127484424224768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2129 + ... + 4527.

Almost surely, 2^7983872 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 7983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8584800).

7983872 is an abundant number, since it is smaller than the sum of its proper divisors (9185728).

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

7983872 is a wasteful number, since it uses less digits than its factorization.

7983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2414 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 7983872 is about 2825.5746318227. The cubic root of 7983872 is about 199.8655095819.

The spelling of 7983872 in words is "seven million, nine hundred eighty-three thousand, eight hundred seventy-two".