144000720 has 160 divisors (see below), whose sum is σ = 500265600. Its totient is φ = 38071296.

The previous prime is 144000719. The next prime is 144000739. The reversal of 144000720 is 27000441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144000693 and 144000702.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 351876 + ... + 352284.

It is an arithmetic number, because the mean of its divisors is an integer number (3126660).

Almost surely, 2^144000720 is an apocalyptic number.

144000720 is a gapful number since it is divisible by the number (10) 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 144000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250132800).

144000720 is an abundant number, since it is smaller than the sum of its proper divisors (356264880).

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

144000720 is a wasteful number, since it uses less digits than its factorization.

144000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 144000720 is about 12000.0299999625. The cubic root of 144000720 is about 524.1491524208.

The spelling of 144000720 in words is "one hundred forty-four million, seven hundred twenty", and thus it is an aban number.