8672 has 12 divisors (see below), whose sum is σ = 17136. Its totient is φ = 4320.

The previous prime is 8669. The next prime is 8677. The reversal of 8672 is 2768.

8672 is nontrivially palindromic in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8672.

It is not an unprimeable number, because it can be changed into a prime (8677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1428).

It is an amenable number.

8672 is a deficient number, since it is larger than the sum of its proper divisors (8464).

8672 is a wasteful number, since it uses less digits than its factorization.

8672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 8672 is about 93.1235738146. The cubic root of 8672 is about 20.5450131260.

Subtracting from 8672 its sum of digits (23), we obtain a square (8649 = 93²).

Subtracting from 8672 its product of digits (672), we obtain a cube (8000 = 20³).

The spelling of 8672 in words is "eight thousand, six hundred seventy-two".