144027072 has 252 divisors, whose sum is σ = 499922800. Its totient is φ = 41150592.

The previous prime is 144027071. The next prime is 144027073. The reversal of 144027072 is 270720441.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (144027071) and next prime (144027073).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144027071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20575293 + ... + 20575299.

Almost surely, 2^144027072 is an apocalyptic number.

144027072 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 144027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249961400).

144027072 is an abundant number, since it is smaller than the sum of its proper divisors (355895728).

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

144027072 is an frugal number, since it uses more digits than its factorization.

144027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 144027072 is about 12001.1279469890. The cubic root of 144027072 is about 524.1811234091.

The spelling of 144027072 in words is "one hundred forty-four million, twenty-seven thousand, seventy-two".