12382272 has 168 divisors, whose sum is σ = 42159936. Its totient is φ = 3400704.

The previous prime is 12382267. The next prime is 12382277. The reversal of 12382272 is 27228321.

It is a happy number.

12382272 is a `hidden beast` number, since 12 + 382 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (12382267) and next prime (12382277).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12382277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149143 + ... + 149225.

It is an arithmetic number, because the mean of its divisors is an integer number (250952).

Almost surely, 2^12382272 is an apocalyptic number.

12382272 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 12382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079968).

12382272 is an abundant number, since it is smaller than the sum of its proper divisors (29777664).

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

12382272 is a wasteful number, since it uses less digits than its factorization.

12382272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12382272 is about 3518.8452651403. The cubic root of 12382272 is about 231.3485489876.

The spelling of 12382272 in words is "twelve million, three hundred eighty-two thousand, two hundred seventy-two".