7872832 has 56 divisors (see below), whose sum is σ = 17446752. Its totient is φ = 3494400.

The previous prime is 7872817. The next prime is 7872863. The reversal of 7872832 is 2382787.

7872832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 7872791 and 7872800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37207 + ... + 37417.

Almost surely, 2^7872832 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 7872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723376).

7872832 is an abundant number, since it is smaller than the sum of its proper divisors (9573920).

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

7872832 is a wasteful number, since it uses less digits than its factorization.

7872832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

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

The square root of 7872832 is about 2805.8567319092. The cubic root of 7872832 is about 198.9346013730.

The spelling of 7872832 in words is "seven million, eight hundred seventy-two thousand, eight hundred thirty-two".