14611872 has 96 divisors (see below), whose sum is σ = 42565824. Its totient is φ = 4352000.

The previous prime is 14611859. The next prime is 14611897. The reversal of 14611872 is 27811641.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106588 + ... + 106724.

It is an arithmetic number, because the mean of its divisors is an integer number (443394).

Almost surely, 2^14611872 is an apocalyptic number.

14611872 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 14611872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21282912).

14611872 is an abundant number, since it is smaller than the sum of its proper divisors (27953952).

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

14611872 is a wasteful number, since it uses less digits than its factorization.

14611872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 14611872 is about 3822.5478414272. The cubic root of 14611872 is about 244.4754681163.

It can be divided in two parts, 1461 and 1872, that added together give a palindrome (3333).

The spelling of 14611872 in words is "fourteen million, six hundred eleven thousand, eight hundred seventy-two".