144286272 has 140 divisors (see below), whose sum is σ = 460825596. Its totient is φ = 44375040.

The previous prime is 144286237. The next prime is 144286283. The reversal of 144286272 is 272682441.

144286272 is a `hidden beast` number, since 1 + 4 + 4 + 28 + 627 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 59351616 = 9216^2 + 7704^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66322 + ... + 68462.

Almost surely, 2^144286272 is an apocalyptic number.

144286272 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 144286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230412798).

144286272 is an abundant number, since it is smaller than the sum of its proper divisors (316539324).

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

144286272 is a wasteful number, since it uses less digits than its factorization.

144286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2159 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 144286272 is about 12011.9220776693. The cubic root of 144286272 is about 524.4953845207.

The spelling of 144286272 in words is "one hundred forty-four million, two hundred eighty-six thousand, two hundred seventy-two".