14185672 has 32 divisors (see below), whose sum is σ = 27732600. Its totient is φ = 6796800.

The previous prime is 14185649. The next prime is 14185679. The reversal of 14185672 is 27658141.

It can be written as a sum of positive squares in 4 ways, for example, as 2033476 + 12152196 = 1426^2 + 3486^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (14185679) by changing a digit.

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, 19654 + ... + 20362.

Almost surely, 2^14185672 is an apocalyptic number.

It is an amenable number.

14185672 is a deficient number, since it is larger than the sum of its proper divisors (13546928).

14185672 is a wasteful number, since it uses less digits than its factorization.

14185672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 14185672 is about 3766.3871282703. The cubic root of 14185672 is about 242.0750171548.

It can be divided in two parts, 1418 and 5672, that multiplied together give a square (8042896 = 2836²).

The spelling of 14185672 in words is "fourteen million, one hundred eighty-five thousand, six hundred seventy-two".