338272 has 36 divisors (see below), whose sum is σ = 750708. Its totient is φ = 148800.

The previous prime is 338269. The next prime is 338279. The reversal of 338272 is 272833.

It is a happy number.

338272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338272² = 228855891968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10897 + ... + 10927.

It is an arithmetic number, because the mean of its divisors is an integer number (20853).

2³³⁸²⁷² is an apocalyptic number.

338272 is a gapful number since it is divisible by the number (32) 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 338272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375354).

338272 is an abundant number, since it is smaller than the sum of its proper divisors (412436).

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

338272 is a wasteful number, since it uses less digits than its factorization.

338272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 338272 is about 581.6115542181. The cubic root of 338272 is about 69.6768781025.

The spelling of 338272 in words is "three hundred thirty-eight thousand, two hundred seventy-two".