144223728 has 80 divisors (see below), whose sum is σ = 420508800. Its totient is φ = 42192640.

The previous prime is 144223721. The next prime is 144223747. The reversal of 144223728 is 827322441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144223721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10603 + ... + 20021.

It is an arithmetic number, because the mean of its divisors is an integer number (5256360).

Almost surely, 2^144223728 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 144223728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210254400).

144223728 is an abundant number, since it is smaller than the sum of its proper divisors (276285072).

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

144223728 is a wasteful number, since it uses less digits than its factorization.

144223728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9464 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 144223728 is about 12009.3183819899. The cubic root of 144223728 is about 524.4195889515.

The spelling of 144223728 in words is "one hundred forty-four million, two hundred twenty-three thousand, seven hundred twenty-eight".