144397728 has 240 divisors, whose sum is σ = 469271880. Its totient is φ = 43352064.

The previous prime is 144397727. The next prime is 144397733. The reversal of 144397728 is 827793441.

It can be written as a sum of positive squares in 4 ways, for example, as 103795344 + 40602384 = 10188^2 + 6372^2 .

It is not an unprimeable number, because it can be changed into a prime (144397727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1277800 + ... + 1277912.

Almost surely, 2^144397728 is an apocalyptic number.

144397728 is a gapful number since it is divisible by the number (18) 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 144397728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234635940).

144397728 is an abundant number, since it is smaller than the sum of its proper divisors (324874152).

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

144397728 is a wasteful number, since it uses less digits than its factorization.

144397728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 144397728 is about 12016.5605728095. The cubic root of 144397728 is about 524.6304010887.

The spelling of 144397728 in words is "one hundred forty-four million, three hundred ninety-seven thousand, seven hundred twenty-eight".