144072000 has 448 divisors, whose sum is σ = 570585600. Its totient is φ = 35481600.

The previous prime is 144071999. The next prime is 144072007. The reversal of 144072000 is 270441.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144072007) 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 63 ways as a sum of consecutive naturals, for example, 4967986 + ... + 4968014.

Almost surely, 2^144072000 is an apocalyptic number.

144072000 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 144072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285292800).

144072000 is an abundant number, since it is smaller than the sum of its proper divisors (426513600).

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

144072000 is a wasteful number, since it uses less digits than its factorization.

144072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

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

The square root of 144072000 is about 12002.9996250937. Note that the first 3 decimals coincide. The cubic root of 144072000 is about 524.2356223326.

The spelling of 144072000 in words is "one hundred forty-four million, seventy-two thousand".