144472900 has 72 divisors (see below), whose sum is σ = 368351424. Its totient is φ = 48489600.

The previous prime is 144472891. The next prime is 144472907. The reversal of 144472900 is 9274441.

It is not an unprimeable number, because it can be changed into a prime (144472907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9249 + ... + 19351.

It is an arithmetic number, because the mean of its divisors is an integer number (5115992).

Almost surely, 2^144472900 is an apocalyptic number.

144472900 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 144472900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184175712).

144472900 is an abundant number, since it is smaller than the sum of its proper divisors (223878524).

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

144472900 is a wasteful number, since it uses less digits than its factorization.

144472900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 144472900 is about 12019.6880159179. The cubic root of 144472900 is about 524.7214243927.

It can be divided in two parts, 1444 and 72900, that multiplied together give a square (105267600 = 10260²).

The spelling of 144472900 in words is "one hundred forty-four million, four hundred seventy-two thousand, nine hundred".