8205672 has 32 divisors (see below), whose sum is σ = 20904480. Its totient is φ = 2683200.

The previous prime is 8205671. The next prime is 8205677. The reversal of 8205672 is 2765028.

It is not an unprimeable number, because it can be changed into a prime (8205671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1954 + ... + 4497.

It is an arithmetic number, because the mean of its divisors is an integer number (653265).

Almost surely, 2^8205672 is an apocalyptic number.

It is an amenable number.

8205672 is an abundant number, since it is smaller than the sum of its proper divisors (12698808).

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

8205672 is a wasteful number, since it uses less digits than its factorization.

8205672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 8205672 is about 2864.5544156116. The cubic root of 8205672 is about 201.6994517500.

It can be divided in two parts, 82056 and 72, that added together give a palindrome (82128).

The spelling of 8205672 in words is "eight million, two hundred five thousand, six hundred seventy-two".