12535872 has 56 divisors (see below), whose sum is σ = 33528000. Its totient is φ = 4133376.

The previous prime is 12535871. The next prime is 12535883. The reversal of 12535872 is 27853521.

It is not an unprimeable number, because it can be changed into a prime (12535871) 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, 20629 + ... + 21227.

Almost surely, 2^12535872 is an apocalyptic number.

12535872 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 12535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764000).

12535872 is an abundant number, since it is smaller than the sum of its proper divisors (20992128).

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

12535872 is a wasteful number, since it uses less digits than its factorization.

12535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 12535872 is about 3540.6033384156. The cubic root of 12535872 is about 232.3012337519.

The spelling of 12535872 in words is "twelve million, five hundred thirty-five thousand, eight hundred seventy-two".