7852672 has 32 divisors (see below), whose sum is σ = 16156800. Its totient is φ = 3797760.

The previous prime is 7852661. The next prime is 7852711. The reversal of 7852672 is 2762587.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam 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 3 ways as a sum of consecutive naturals, for example, 2979 + ... + 4957.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 2^7852672 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 7852672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078400).

7852672 is an abundant number, since it is smaller than the sum of its proper divisors (8304128).

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

7852672 is a wasteful number, since it uses less digits than its factorization.

7852672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2012 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 7852672 is about 2802.2619435021. The cubic root of 7852672 is about 198.7646519531.

The spelling of 7852672 in words is "seven million, eight hundred fifty-two thousand, six hundred seventy-two".