14971872 has 48 divisors (see below), whose sum is σ = 39795840. Its totient is φ = 4927872.

The previous prime is 14971861. The next prime is 14971877. The reversal of 14971872 is 27817941.

14971872 is digitally balanced in base 2, because in such base 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 self number, because there is not a number n which added to its sum of digits gives 14971872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14971877) 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, 7029 + ... + 8907.

It is an arithmetic number, because the mean of its divisors is an integer number (829080).

Almost surely, 2^14971872 is an apocalyptic number.

14971872 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 14971872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897920).

14971872 is an abundant number, since it is smaller than the sum of its proper divisors (24823968).

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

14971872 is a wasteful number, since it uses less digits than its factorization.

14971872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1967 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 14971872 is about 3869.3503330663. The cubic root of 14971872 is about 246.4669562795.

The spelling of 14971872 in words is "fourteen million, nine hundred seventy-one thousand, eight hundred seventy-two".