144072 has 64 divisors (see below), whose sum is σ = 432000. Its totient is φ = 44352.

The previous prime is 144071. The next prime is 144073. The reversal of 144072 is 270441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144071) and next prime (144073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4954 + ... + 4982.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2¹⁴⁴⁰⁷² is an apocalyptic number.

144072 is a gapful number since it is divisible by the number (12) 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 144072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216000).

144072 is an abundant number, since it is smaller than the sum of its proper divisors (287928).

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

144072 is a wasteful number, since it uses less digits than its factorization.

144072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 57 counting only the distinct ones).

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

The square root of 144072 is about 379.5681756944. The cubic root of 144072 is about 52.4235622333.

The spelling of 144072 in words is "one hundred forty-four thousand, seventy-two", and thus it is an iban number.