12406272 has 80 divisors (see below), whose sum is σ = 34029072. Its totient is φ = 4014080.

The previous prime is 12406267. The next prime is 12406307. The reversal of 12406272 is 27260421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62878 + ... + 63074.

Almost surely, 2^12406272 is an apocalyptic number.

12406272 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 12406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014536).

12406272 is an abundant number, since it is smaller than the sum of its proper divisors (21622800).

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

12406272 is an equidigital number, since it uses as much as digits as its factorization.

12406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 12406272 is about 3522.2538239031. The cubic root of 12406272 is about 231.4979233440.

Adding to 12406272 its reverse (27260421), we get a palindrome (39666693).

It can be divided in two parts, 12 and 406272, that multiplied together give a square (4875264 = 2208²).

The spelling of 12406272 in words is "twelve million, four hundred six thousand, two hundred seventy-two".