342272 has 36 divisors (see below), whose sum is σ = 784896. Its totient is φ = 145920.

The previous prime is 342257. The next prime is 342281. The reversal of 342272 is 272243.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3¹⁰ + 4⁴ + 2¹² + 2¹⁴ + 7³ + 2¹⁸ .

It is an unprimeable number.

342272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1697 + ... + 1887.

2³⁴²²⁷² is an apocalyptic number.

342272 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 342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392448).

342272 is an abundant number, since it is smaller than the sum of its proper divisors (442624).

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

342272 is an equidigital number, since it uses as much as digits as its factorization.

342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 672, while the sum is 20.

The square root of 342272 is about 585.0401695610. The cubic root of 342272 is about 69.9504411119.

The spelling of 342272 in words is "three hundred forty-two thousand, two hundred seventy-two", and thus it is an iban number.