7085672 has 32 divisors (see below), whose sum is σ = 14705280. Its totient is φ = 3173760.

The previous prime is 7085653. The next prime is 7085681. The reversal of 7085672 is 2765807.

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 7 ways as a sum of consecutive naturals, for example, 5873 + ... + 6975.

It is an arithmetic number, because the mean of its divisors is an integer number (459540).

Almost surely, 2^7085672 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 7085672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352640).

7085672 is an abundant number, since it is smaller than the sum of its proper divisors (7619608).

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

7085672 is a wasteful number, since it uses less digits than its factorization.

7085672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 7085672 is about 2661.8925598153. The cubic root of 7085672 is about 192.0703590515.

The spelling of 7085672 in words is "seven million, eighty-five thousand, six hundred seventy-two".