144561072 has 80 divisors (see below), whose sum is σ = 400331520. Its totient is φ = 44833536.

The previous prime is 144561071. The next prime is 144561083. The reversal of 144561072 is 270165441.

144561072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144561071) 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, 39079 + ... + 42617.

It is an arithmetic number, because the mean of its divisors is an integer number (5004144).

Almost surely, 2^144561072 is an apocalyptic number.

144561072 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 144561072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200165760).

144561072 is an abundant number, since it is smaller than the sum of its proper divisors (255770448).

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

144561072 is a wasteful number, since it uses less digits than its factorization.

144561072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 144561072 is about 12023.3552721360. The cubic root of 144561072 is about 524.8281487417.

The spelling of 144561072 in words is "one hundred forty-four million, five hundred sixty-one thousand, seventy-two".