27492 has 24 divisors (see below), whose sum is σ = 67200. Its totient is φ = 8736.

The previous prime is 27487. The next prime is 27509. The reversal of 27492 is 29472.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 8.

It is an unprimeable number.

27492 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 7 ways as a sum of consecutive naturals, for example, 309 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (2800).

2²⁷⁴⁹² 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 27492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600).

27492 is an abundant number, since it is smaller than the sum of its proper divisors (39708).

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

27492 is a wasteful number, since it uses less digits than its factorization.

27492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 27492 is about 165.8071168557. The cubic root of 27492 is about 30.1811264616.

The spelling of 27492 in words is "twenty-seven thousand, four hundred ninety-two".