7836672 has 44 divisors (see below), whose sum is σ = 20895776. Its totient is φ = 2611200.

The previous prime is 7836667. The next prime is 7836679. The reversal of 7836672 is 2766387.

7836672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7836672² = 122826856071168, 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 7836672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7836679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1797 + ... + 4347.

It is an arithmetic number, because the mean of its divisors is an integer number (474904).

Almost surely, 2^7836672 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 7836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447888).

7836672 is an abundant number, since it is smaller than the sum of its proper divisors (13059104).

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

7836672 is a wasteful number, since it uses less digits than its factorization.

7836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2556 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 7836672 is about 2799.4056512053. The cubic root of 7836672 is about 198.6295643118.

The spelling of 7836672 in words is "seven million, eight hundred thirty-six thousand, six hundred seventy-two".