338072 has 16 divisors (see below), whose sum is σ = 724560. Its totient is φ = 144864.

The previous prime is 338033. The next prime is 338119. The reversal of 338072 is 270833.

It is a super-2 number, since 2×338072² = 228585354368, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338072.

It is an unprimeable number.

338072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2963 + ... + 3074.

It is an arithmetic number, because the mean of its divisors is an integer number (45285).

2³³⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

338072 is an abundant number, since it is smaller than the sum of its proper divisors (386488).

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

338072 is a wasteful number, since it uses less digits than its factorization.

338072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 338072 is about 581.4395927351. The cubic root of 338072 is about 69.6631434719.

The spelling of 338072 in words is "three hundred thirty-eight thousand, seventy-two".