7872084 has 72 divisors (see below), whose sum is σ = 22032192. Its totient is φ = 2350080.

The previous prime is 7872017. The next prime is 7872103. The reversal of 7872084 is 4802787.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40692 + ... + 40884.

Almost surely, 2^7872084 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 7872084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016096).

7872084 is an abundant number, since it is smaller than the sum of its proper divisors (14160108).

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

7872084 is a wasteful number, since it uses less digits than its factorization.

7872084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7872084 is about 2805.7234361212. The cubic root of 7872084 is about 198.9283008959.

The spelling of 7872084 in words is "seven million, eight hundred seventy-two thousand, eighty-four".