34272 has 72 divisors (see below), whose sum is σ = 117936. Its totient is φ = 9216.

The previous prime is 34267. The next prime is 34273. The reversal of 34272 is 27243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 3⁶ + 4⁴ + 2⁹ + 7 + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34273) by changing a digit.

34272 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 11 ways as a sum of consecutive naturals, for example, 2008 + ... + 2024.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2³⁴²⁷² is an apocalyptic number.

34272 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 34272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968).

34272 is an abundant number, since it is smaller than the sum of its proper divisors (83664).

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

34272 is a wasteful number, since it uses less digits than its factorization.

34272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 29 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 34272 is about 185.1269834465. The cubic root of 34272 is about 32.4822783069.

It can be divided in two parts, 342 and 72, that added together give a palindrome (414).

The spelling of 34272 in words is "thirty-four thousand, two hundred seventy-two".