72144217 has 2 divisors, whose sum is σ = 72144218. Its totient is φ = 72144216.

The previous prime is 72144203. The next prime is 72144251. The reversal of 72144217 is 71244127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 978121 = 8436^2 + 989^2 .

It is a cyclic number.

It is not a de Polignac number, because 72144217 - 2⁷ = 72144089 is a prime.

It is not a weakly prime, because it can be changed into another prime (72147217) 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 as a sum of consecutive naturals, namely, 36072108 + 36072109.

It is an arithmetic number, because the mean of its divisors is an integer number (36072109).

Almost surely, 2^72144217 is an apocalyptic number.

It is an amenable number.

72144217 is a deficient number, since it is larger than the sum of its proper divisors (1).

72144217 is an equidigital number, since it uses as much as digits as its factorization.

72144217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3136, while the sum is 28.

The square root of 72144217 is about 8493.7751912798. The cubic root of 72144217 is about 416.2943418150.

It can be divided in two parts, 72144 and 217, that added together give a square (72361 = 269²).

The spelling of 72144217 in words is "seventy-two million, one hundred forty-four thousand, two hundred seventeen".