14208672 has 48 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 4680192.

The previous prime is 14208671. The next prime is 14208679. The reversal of 14208672 is 27680241.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14208671) 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, 7713 + ... + 9375.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^14208672 is an apocalyptic number.

14208672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14208672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

14208672 is an abundant number, since it is smaller than the sum of its proper divisors (23530848).

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

14208672 is a wasteful number, since it uses less digits than its factorization.

14208672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 14208672 is about 3769.4392155863. The cubic root of 14208672 is about 242.2057762996.

The spelling of 14208672 in words is "fourteen million, two hundred eight thousand, six hundred seventy-two".