8205872 has 20 divisors (see below), whose sum is σ = 16736280. Its totient is φ = 3886848.

The previous prime is 8205859. The next prime is 8205881. The reversal of 8205872 is 2785028.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13193 + ... + 13800.

It is an arithmetic number, because the mean of its divisors is an integer number (836814).

Almost surely, 2^8205872 is an apocalyptic number.

It is an amenable number.

8205872 is an abundant number, since it is smaller than the sum of its proper divisors (8530408).

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

8205872 is a wasteful number, since it uses less digits than its factorization.

8205872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27020 (or 27014 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 8205872 is about 2864.5893248422. The cubic root of 8205872 is about 201.7010904361.

The spelling of 8205872 in words is "eight million, two hundred five thousand, eight hundred seventy-two".