14793672 has 64 divisors (see below), whose sum is σ = 39657600. Its totient is φ = 4582400.

The previous prime is 14793641. The next prime is 14793679. The reversal of 14793672 is 27639741.

It is a self number, because there is not a number n which added to its sum of digits gives 14793672.

It is not an unprimeable number, because it can be changed into a prime (14793679) 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 15 ways as a sum of consecutive naturals, for example, 41029 + ... + 41387.

It is an arithmetic number, because the mean of its divisors is an integer number (619650).

Almost surely, 2^14793672 is an apocalyptic number.

14793672 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 14793672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828800).

14793672 is an abundant number, since it is smaller than the sum of its proper divisors (24863928).

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

14793672 is a wasteful number, since it uses less digits than its factorization.

14793672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 482 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 14793672 is about 3846.2542817656. The cubic root of 14793672 is about 245.4852080911.

It can be divided in two parts, 1479 and 3672, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 14793672 in words is "fourteen million, seven hundred ninety-three thousand, six hundred seventy-two".