14871072 has 96 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 4527360.

The previous prime is 14871061. The next prime is 14871079. The reversal of 14871072 is 27017841.

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

It is a super-2 number, since 2×14871072² = 442297564858368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14871079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56413 + ... + 56675.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 2^14871072 is an apocalyptic number.

14871072 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 14871072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

14871072 is an abundant number, since it is smaller than the sum of its proper divisors (27706848).

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

14871072 is a wasteful number, since it uses less digits than its factorization.

14871072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 14871072 is about 3856.3028926681. The cubic root of 14871072 is about 245.9125870932.

The spelling of 14871072 in words is "fourteen million, eight hundred seventy-one thousand, seventy-two".