144072320 has 64 divisors (see below), whose sum is σ = 393638400. Its totient is φ = 49394688.

The previous prime is 144072287. The next prime is 144072323. The reversal of 144072320 is 23270441.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (144072323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11600 + ... + 20559.

It is an arithmetic number, because the mean of its divisors is an integer number (6150600).

Almost surely, 2^144072320 is an apocalyptic number.

144072320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144072320 is an abundant number, since it is smaller than the sum of its proper divisors (249566080).

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

144072320 is an equidigital number, since it uses as much as digits as its factorization.

144072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32185 (or 32173 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 144072320 is about 12003.0129550876. The cubic root of 144072320 is about 524.2360104610.

The spelling of 144072320 in words is "one hundred forty-four million, seventy-two thousand, three hundred twenty".