72144 has 40 divisors (see below), whose sum is σ = 208320. Its totient is φ = 23904.

The previous prime is 72139. The next prime is 72161. The reversal of 72144 is 44127.

It is a happy number.

72144 is nontrivially palindromic in base 5.

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

It is a congruent number.

It is an unprimeable number.

72144 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 7 ways as a sum of consecutive naturals, for example, 349 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁷²¹⁴⁴ 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 72144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

72144 is an abundant number, since it is smaller than the sum of its proper divisors (136176).

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

72144 is a wasteful number, since it uses less digits than its factorization.

72144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 72144 is about 268.5963514272. The cubic root of 72144 is about 41.6293924429.

It can be divided in two parts, 72 and 144, that added together give a cube (216 = 6³).

The spelling of 72144 in words is "seventy-two thousand, one hundred forty-four", and thus it is an iban number.