72834 has 16 divisors (see below), whose sum is σ = 148800. Its totient is φ = 23760.

The previous prime is 72823. The next prime is 72859. The reversal of 72834 is 43827.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72834.

It is an unprimeable number.

72834 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 7 ways as a sum of consecutive naturals, for example, 267 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2⁷²⁸³⁴ is an apocalyptic number.

72834 is an abundant number, since it is smaller than the sum of its proper divisors (75966).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

72834 is a wasteful number, since it uses less digits than its factorization.

72834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265.

The product of its digits is 1344, while the sum is 24.

The square root of 72834 is about 269.8777501018. The cubic root of 72834 is about 41.7616889116.

The spelling of 72834 in words is "seventy-two thousand, eight hundred thirty-four".