33726 has 32 divisors (see below), whose sum is σ = 85248. Its totient is φ = 8640.

The previous prime is 33721. The next prime is 33739. The reversal of 33726 is 62733.

It is a super-2 number, since 2×33726² = 2274886152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 14.

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 33726.

It is not an unprimeable number, because it can be changed into a prime (33721) by changing a digit.

33726 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 15 ways as a sum of consecutive naturals, for example, 426 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (2664).

2³³⁷²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42624).

33726 is an abundant number, since it is smaller than the sum of its proper divisors (51522).

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

33726 is a wasteful number, since it uses less digits than its factorization.

33726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its digits is 756, while the sum is 21.

The square root of 33726 is about 183.6463993657. The cubic root of 33726 is about 32.3088583218.

It can be divided in two parts, 337 and 26, that added together give a palindrome (363).

The spelling of 33726 in words is "thirty-three thousand, seven hundred twenty-six".