834272 has 36 divisors (see below), whose sum is σ = 1755936. Its totient is φ = 389760.

The previous prime is 834269. The next prime is 834277. The reversal of 834272 is 272438.

834272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 8 + 3⁸ + 2¹¹ + 4³ + 7⁷ + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834277) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26897 + ... + 26927.

It is an arithmetic number, because the mean of its divisors is an integer number (48776).

2⁸³⁴²⁷² 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 834272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877968).

834272 is an abundant number, since it is smaller than the sum of its proper divisors (921664).

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

834272 is a wasteful number, since it uses less digits than its factorization.

834272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 62 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 834272 is about 913.3849133854. The cubic root of 834272 is about 94.1389223962.

The spelling of 834272 in words is "eight hundred thirty-four thousand, two hundred seventy-two".