144240720 has 160 divisors (see below), whose sum is σ = 488218752. Its totient is φ = 35014656.

The previous prime is 144240709. The next prime is 144240731. The reversal of 144240720 is 27042441.

It is an interprime number because it is at equal distance from previous prime (144240709) and next prime (144240731).

It is a super-2 number, since 2×144240720² = 41610770612236800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258682 + ... + 259238.

Almost surely, 2^144240720 is an apocalyptic number.

144240720 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 144240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244109376).

144240720 is an abundant number, since it is smaller than the sum of its proper divisors (343978032).

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

144240720 is a wasteful number, since it uses less digits than its factorization.

144240720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

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

The square root of 144240720 is about 12010.0258117957. The cubic root of 144240720 is about 524.4401833152.

The spelling of 144240720 in words is "one hundred forty-four million, two hundred forty thousand, seven hundred twenty".