14083872 has 48 divisors (see below), whose sum is σ = 40334112. Its totient is φ = 4267520.

The previous prime is 14083841. The next prime is 14083873. The reversal of 14083872 is 27838041.

14083872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

14083872 is a modest number, since divided by 3872 gives 1408 as remainder.

It is not an unprimeable number, because it can be changed into a prime (14083873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5613 + ... + 7724.

It is an arithmetic number, because the mean of its divisors is an integer number (840294).

Almost surely, 2^14083872 is an apocalyptic number.

14083872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14083872 is an abundant number, since it is smaller than the sum of its proper divisors (26250240).

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

14083872 is a wasteful number, since it uses less digits than its factorization.

14083872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13361 (or 13353 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 14083872 is about 3752.8485181259. The cubic root of 14083872 is about 241.4945624159.

It can be divided in two parts, 1408 and 3872, that multiplied together give a cube (5451776 = 176³).

The spelling of 14083872 in words is "fourteen million, eighty-three thousand, eight hundred seventy-two".