72015165 has 12 divisors (see below), whose sum is σ = 124826364. Its totient is φ = 38408064.

The previous prime is 72015137. The next prime is 72015169. The reversal of 72015165 is 56151027.

It can be written as a sum of positive squares in 2 ways, for example, as 50168889 + 21846276 = 7083^2 + 4674^2 .

It is not a de Polignac number, because 72015165 - 2⁹ = 72014653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72015169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 800124 + ... + 800213.

It is an arithmetic number, because the mean of its divisors is an integer number (10402197).

Almost surely, 2^72015165 is an apocalyptic number.

It is an amenable number.

72015165 is a deficient number, since it is larger than the sum of its proper divisors (52811199).

72015165 is a wasteful number, since it uses less digits than its factorization.

72015165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600348 (or 1600345 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 72015165 is about 8486.1749333843. The cubic root of 72015165 is about 416.0459704037.

The spelling of 72015165 in words is "seventy-two million, fifteen thousand, one hundred sixty-five".