30144 has 28 divisors (see below), whose sum is σ = 80264. Its totient is φ = 9984.

The previous prime is 30139. The next prime is 30161. The reversal of 30144 is 44103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30144.

It is an unprimeable number.

30144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114 + ... + 270.

2³⁰¹⁴⁴ 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 30144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40132).

30144 is an abundant number, since it is smaller than the sum of its proper divisors (50120).

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

30144 is a wasteful number, since it uses less digits than its factorization.

30144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 30144 is about 173.6202753137. The cubic root of 30144 is about 31.1219614459.

Adding to 30144 its reverse (44103), we get a palindrome (74247).

The spelling of 30144 in words is "thirty thousand, one hundred forty-four".