39120 has 40 divisors (see below), whose sum is σ = 122016. Its totient is φ = 10368.

The previous prime is 39119. The next prime is 39133. The reversal of 39120 is 2193.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 39120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 321.

2³⁹¹²⁰ is an apocalyptic number.

39120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61008).

39120 is an abundant number, since it is smaller than the sum of its proper divisors (82896).

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

39120 is a wasteful number, since it uses less digits than its factorization.

39120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 39120 is about 197.7877650412. The cubic root of 39120 is about 33.9468604733.

The spelling of 39120 in words is "thirty-nine thousand, one hundred twenty".