144324072 has 64 divisors (see below), whose sum is σ = 403401600. Its totient is φ = 47808000.

The previous prime is 144324053. The next prime is 144324079. The reversal of 144324072 is 270423441.

It is a super-2 number, since 2×144324072² = 41658875517322368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (144324079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34072 + ... + 38072.

It is an arithmetic number, because the mean of its divisors is an integer number (6303150).

Almost surely, 2^144324072 is an apocalyptic number.

144324072 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 144324072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201700800).

144324072 is an abundant number, since it is smaller than the sum of its proper divisors (259077528).

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

144324072 is a wasteful number, since it uses less digits than its factorization.

144324072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 144324072 is about 12013.4954114113. The cubic root of 144324072 is about 524.5411828127.

The spelling of 144324072 in words is "one hundred forty-four million, three hundred twenty-four thousand, seventy-two".