12872538 has 72 divisors (see below), whose sum is σ = 33759648. Its totient is φ = 3471984.

The previous prime is 12872507. The next prime is 12872569. The reversal of 12872538 is 83527821.

12872538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12872507) and next prime (12872569).

It is a super-2 number, since 2×12872538² = 331404469122888, which contains 22 as substring.

Its product of digits (26880) is a multiple of the sum of its prime factors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45345 + ... + 45627.

It is an arithmetic number, because the mean of its divisors is an integer number (468884).

Almost surely, 2^12872538 is an apocalyptic number.

12872538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12872538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16879824).

12872538 is an abundant number, since it is smaller than the sum of its proper divisors (20887110).

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

12872538 is a wasteful number, since it uses less digits than its factorization.

12872538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12872538 is about 3587.8319358632. The cubic root of 12872538 is about 234.3624669565.

The spelling of 12872538 in words is "twelve million, eight hundred seventy-two thousand, five hundred thirty-eight".