72114017 has 16 divisors (see below), whose sum is σ = 78222672. Its totient is φ = 66232320.

The previous prime is 72114011. The next prime is 72114019. The reversal of 72114017 is 71041127.

It can be written as a sum of positive squares in 8 ways, for example, as 1032256 + 71081761 = 1016^2 + 8431^2 .

It is a cyclic number.

It is not a de Polignac number, because 72114017 - 2¹⁴ = 72097633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72113983 and 72114001.

It is not an unprimeable number, because it can be changed into a prime (72114011) 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 15 ways as a sum of consecutive naturals, for example, 204113 + ... + 204465.

It is an arithmetic number, because the mean of its divisors is an integer number (4888917).

Almost surely, 2^72114017 is an apocalyptic number.

It is an amenable number.

72114017 is a deficient number, since it is larger than the sum of its proper divisors (6108655).

72114017 is a wasteful number, since it uses less digits than its factorization.

72114017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 72114017 is about 8491.9972326891. The cubic root of 72114017 is about 416.2362459421.

The spelling of 72114017 in words is "seventy-two million, one hundred fourteen thousand, seventeen".