36792 has 48 divisors (see below), whose sum is σ = 115440. Its totient is φ = 10368.

The previous prime is 36791. The next prime is 36793. The reversal of 36792 is 29763.

It is an interprime number because it is at equal distance from previous prime (36791) and next prime (36793).

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

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 6 and base 9.

It is a zygodrome in base 6.

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 36792.

It is not an unprimeable number, because it can be changed into a prime (36791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (2405).

2³⁶⁷⁹² 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 36792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57720).

36792 is an abundant number, since it is smaller than the sum of its proper divisors (78648).

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

36792 is a wasteful number, since it uses less digits than its factorization.

36792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 36792 is about 191.8124083577. The cubic root of 36792 is about 33.2596595072.

Adding to 36792 its product of digits (2268), we get a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 36 and 792, that added together give a palindrome (828).

The spelling of 36792 in words is "thirty-six thousand, seven hundred ninety-two".