144561872 has 80 divisors (see below), whose sum is σ = 352894080. Its totient is φ = 55835136.

The previous prime is 144561871. The next prime is 144561883. The reversal of 144561872 is 278165441.

144561872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144561872² = 41796269672288768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144561871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61454 + ... + 63762.

It is an arithmetic number, because the mean of its divisors is an integer number (4411176).

Almost surely, 2^144561872 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 144561872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176447040).

144561872 is an abundant number, since it is smaller than the sum of its proper divisors (208332208).

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

144561872 is a wasteful number, since it uses less digits than its factorization.

144561872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2374 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 144561872 is about 12023.3885406735. The cubic root of 144561872 is about 524.8291168718.

The spelling of 144561872 in words is "one hundred forty-four million, five hundred sixty-one thousand, eight hundred seventy-two".