39168 has 54 divisors (see below), whose sum is σ = 119574. Its totient is φ = 12288.

The previous prime is 39163. The next prime is 39181. The reversal of 39168 is 86193.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 2304 = 192^2 + 48^2 .

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 16.

It is a zygodrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (39161) by changing a digit.

39168 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 5 ways as a sum of consecutive naturals, for example, 2296 + ... + 2312.

2³⁹¹⁶⁸ 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 39168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59787).

39168 is an abundant number, since it is smaller than the sum of its proper divisors (80406).

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

39168 is a wasteful number, since it uses less digits than its factorization.

39168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 22 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 39168 is about 197.9090700296. The cubic root of 39168 is about 33.9607389951.

The spelling of 39168 in words is "thirty-nine thousand, one hundred sixty-eight".