12538272 has 48 divisors (see below), whose sum is σ = 33197472. Its totient is φ = 4143360.

The previous prime is 12538249. The next prime is 12538277. The reversal of 12538272 is 27283521.

12538272 is digitally balanced in base 2 and base 4, because in such bases 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 not an unprimeable number, because it can be changed into a prime (12538277) 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, 12078 + ... + 13074.

It is an arithmetic number, because the mean of its divisors is an integer number (691614).

Almost surely, 2^12538272 is an apocalyptic number.

12538272 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 12538272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598736).

12538272 is an abundant number, since it is smaller than the sum of its proper divisors (20659200).

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

12538272 is a wasteful number, since it uses less digits than its factorization.

12538272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 12538272 is about 3540.9422474816. The cubic root of 12538272 is about 232.3160575415.

The spelling of 12538272 in words is "twelve million, five hundred thirty-eight thousand, two hundred seventy-two".