7889672 has 32 divisors (see below), whose sum is σ = 17107200. Its totient is φ = 3341184.

The previous prime is 7889669. The next prime is 7889677. The reversal of 7889672 is 2769887.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7889677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4193 + ... + 5775.

It is an arithmetic number, because the mean of its divisors is an integer number (534600).

Almost surely, 2^7889672 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 7889672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553600).

7889672 is an abundant number, since it is smaller than the sum of its proper divisors (9217528).

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

7889672 is a wasteful number, since it uses less digits than its factorization.

7889672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1681 counting only the distinct ones).

The product of its digits is 338688, while the sum is 47.

The square root of 7889672 is about 2808.8559948848. The cubic root of 7889672 is about 199.0763408355.

The spelling of 7889672 in words is "seven million, eight hundred eighty-nine thousand, six hundred seventy-two".