40392 has 64 divisors (see below), whose sum is σ = 129600. Its totient is φ = 11520.

The previous prime is 40387. The next prime is 40423. The reversal of 40392 is 29304.

Added to its reverse (29304) it gives a square (69696 = 264²).

40392 is nontrivially palindromic in base 7.

40392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

40392 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 15 ways as a sum of consecutive naturals, for example, 2368 + ... + 2384.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

2⁴⁰³⁹² 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 40392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

40392 is an abundant number, since it is smaller than the sum of its proper divisors (89208).

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

40392 is a wasteful number, since it uses less digits than its factorization.

40392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 40392 is about 200.9776106933. The cubic root of 40392 is about 34.3108743892.

Adding to 40392 its reverse (29304), we get a palindrome (69696).

The spelling of 40392 in words is "forty thousand, three hundred ninety-two".