43638272 has 40 divisors (see below), whose sum is σ = 90228600. Its totient is φ = 21059584.

The previous prime is 43638271. The next prime is 43638289. The reversal of 43638272 is 27283634.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43638271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13379 + ... + 16317.

It is an arithmetic number, because the mean of its divisors is an integer number (2255715).

Almost surely, 2^43638272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45114300).

43638272 is an abundant number, since it is smaller than the sum of its proper divisors (46590328).

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

43638272 is an equidigital number, since it uses as much as digits as its factorization.

43638272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2970 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 43638272 is about 6605.9270356249. The cubic root of 43638272 is about 352.0647263893.

The spelling of 43638272 in words is "forty-three million, six hundred thirty-eight thousand, two hundred seventy-two".