40092 has 24 divisors (see below), whose sum is σ = 101136. Its totient is φ = 12288.

The previous prime is 40087. The next prime is 40093. The reversal of 40092 is 29004.

40092 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

40092 is an undulating number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40093) by changing a digit.

40092 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, 28 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (4214).

2⁴⁰⁰⁹² 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 40092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50568).

40092 is an abundant number, since it is smaller than the sum of its proper divisors (61044).

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

40092 is a wasteful number, since it uses less digits than its factorization.

40092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 40092 is about 200.2298679019. The cubic root of 40092 is about 34.2257184886.

Adding to 40092 its reverse (29004), we get a palindrome (69096).

The spelling of 40092 in words is "forty thousand, ninety-two".