144072009 has 9 divisors (see below), whose sum is σ = 208156039. Its totient is φ = 96024000.

The previous prime is 144072007. The next prime is 144072011. The reversal of 144072009 is 900270441.

It is a happy number.

The square root of 144072009 is 12003.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (144072007) and next prime (144072011).

It can be written as a sum of positive squares in only one way, i.e., 5774409 + 138297600 = 2403^2 + 11760^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 144072009 - 2¹ = 144072007 is a prime.

It is a Duffinian 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 (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34009 + ... + 38009.

Almost surely, 2^144072009 is an apocalyptic number.

144072009 is the 12003-rd square number.

144072009 is the 6002-nd centered octagonal number.

It is an amenable number.

144072009 is a deficient number, since it is larger than the sum of its proper divisors (64084030).

144072009 is an frugal number, since it uses more digits than its factorization.

144072009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The cubic root of 144072009 is about 524.2356332487.

The spelling of 144072009 in words is "one hundred forty-four million, seventy-two thousand, nine".