144402720 has 192 divisors, whose sum is σ = 567254016. Its totient is φ = 29998080.

The previous prime is 144402719. The next prime is 144402733. The reversal of 144402720 is 27204441.

It is a super-3 number, since 3×144402720³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 35007 + ... + 38913.

It is an arithmetic number, because the mean of its divisors is an integer number (2954448).

Almost surely, 2^144402720 is an apocalyptic number.

144402720 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 144402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283627008).

144402720 is an abundant number, since it is smaller than the sum of its proper divisors (422851296).

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

144402720 is a wasteful number, since it uses less digits than its factorization.

144402720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 144402720 is about 12016.7682843600. The cubic root of 144402720 is about 524.6364467165.

The spelling of 144402720 in words is "one hundred forty-four million, four hundred two thousand, seven hundred twenty".