4138272 has 36 divisors (see below), whose sum is σ = 11769030. Its totient is φ = 1379328.

The previous prime is 4138261. The next prime is 4138279. The reversal of 4138272 is 2728314.

It can be written as a sum of positive squares in only one way, i.e., 3370896 + 767376 = 1836^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138279) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6897 + ... + 7472.

Almost surely, 2^4138272 is an apocalyptic number.

It is an amenable number.

4138272 is an abundant number, since it is smaller than the sum of its proper divisors (7630758).

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

4138272 is a wasteful number, since it uses less digits than its factorization.

4138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14385 (or 14374 counting only the distinct ones).

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

The square root of 4138272 is about 2034.2743177851. The cubic root of 4138272 is about 160.5485339582.

The spelling of 4138272 in words is "four million, one hundred thirty-eight thousand, two hundred seventy-two".