144466272 has 144 divisors (see below), whose sum is σ = 458181360. Its totient is φ = 42909696.

The previous prime is 144466261. The next prime is 144466277. The reversal of 144466272 is 272664441.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144466277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92248 + ... + 93800.

It is an arithmetic number, because the mean of its divisors is an integer number (3181815).

Almost surely, 2^144466272 is an apocalyptic number.

144466272 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 144466272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229090680).

144466272 is an abundant number, since it is smaller than the sum of its proper divisors (313715088).

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

144466272 is a wasteful number, since it uses less digits than its factorization.

144466272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1594 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 144466272 is about 12019.4122984445. The cubic root of 144466272 is about 524.7134000348.

The spelling of 144466272 in words is "one hundred forty-four million, four hundred sixty-six thousand, two hundred seventy-two".