12871872 has 140 divisors (see below), whose sum is σ = 41306496. Its totient is φ = 3939840.

The previous prime is 12871849. The next prime is 12871877. The reversal of 12871872 is 27817821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12871877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67297 + ... + 67487.

Almost surely, 2^12871872 is an apocalyptic number.

12871872 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 12871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653248).

12871872 is an abundant number, since it is smaller than the sum of its proper divisors (28434624).

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

12871872 is a wasteful number, since it uses less digits than its factorization.

12871872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 12871872 is about 3587.7391209507. The cubic root of 12871872 is about 234.3584250679.

The spelling of 12871872 in words is "twelve million, eight hundred seventy-one thousand, eight hundred seventy-two".