36726 has 8 divisors (see below), whose sum is σ = 73464. Its totient is φ = 12240.

The previous prime is 36721. The next prime is 36739. The reversal of 36726 is 62763.

It is a sphenic number, since it is the product of 3 distinct primes.

36726 is an admirable number.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 36696 and 36705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3055 + ... + 3066.

It is an arithmetic number, because the mean of its divisors is an integer number (9183).

2³⁶⁷²⁶ is an apocalyptic number.

36726 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (36732).

36726 is a wasteful number, since it uses less digits than its factorization.

36726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126.

The product of its digits is 1512, while the sum is 24.

The square root of 36726 is about 191.6402880399. The cubic root of 36726 is about 33.2397597878.

It can be divided in two parts, 367 and 26, that added together give a palindrome (393).

The spelling of 36726 in words is "thirty-six thousand, seven hundred twenty-six".