138272 has 24 divisors (see below), whose sum is σ = 283500. Its totient is φ = 66304.

The previous prime is 138251. The next prime is 138283. The reversal of 138272 is 272831.

138272 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 5776 = 364^2 + 76^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 854 + ... + 1002.

2¹³⁸²⁷² 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 138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141750).

138272 is an abundant number, since it is smaller than the sum of its proper divisors (145228).

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

138272 is a wasteful number, since it uses less digits than its factorization.

138272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 138272 is about 371.8494318941. The cubic root of 138272 is about 51.7104219468.

The spelling of 138272 in words is "one hundred thirty-eight thousand, two hundred seventy-two".