27792 has 30 divisors (see below), whose sum is σ = 78182. Its totient is φ = 9216.

The previous prime is 27791. The next prime is 27793. The reversal of 27792 is 29772.

It is an interprime number because it is at equal distance from previous prime (27791) and next prime (27793).

It can be written as a sum of positive squares in only one way, i.e., 20736 + 7056 = 144^2 + 84^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 8 and base 9.

It is not an unprimeable number, because it can be changed into a prime (27791) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48 + ... + 240.

2²⁷⁷⁹² 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 27792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39091).

27792 is an abundant number, since it is smaller than the sum of its proper divisors (50390).

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

27792 is a wasteful number, since it uses less digits than its factorization.

27792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 27792 is about 166.7093278734. The cubic root of 27792 is about 30.2905110306.

The spelling of 27792 in words is "twenty-seven thousand, seven hundred ninety-two".