36724 has 6 divisors (see below), whose sum is σ = 64274. Its totient is φ = 18360.

The previous prime is 36721. The next prime is 36739. The reversal of 36724 is 42763.

36724 = 27² + 28² + ... + 50².

It can be written as a sum of positive squares in only one way, i.e., 33124 + 3600 = 182^2 + 60^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁹ + 6⁵ + 7² + 2¹³ + 4⁵ .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 36695 and 36704.

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 as a sum of consecutive naturals, namely, 4587 + ... + 4594.

2³⁶⁷²⁴ is an apocalyptic number.

It is an amenable number.

36724 is a deficient number, since it is larger than the sum of its proper divisors (27550).

36724 is a wasteful number, since it uses less digits than its factorization.

36724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185 (or 9183 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 36724 is about 191.6350698594. The cubic root of 36724 is about 33.2391563939.

The spelling of 36724 in words is "thirty-six thousand, seven hundred twenty-four".