72065096 has 16 divisors (see below), whose sum is σ = 135449340. Its totient is φ = 35945280.

The previous prime is 72065039. The next prime is 72065099. The reversal of 72065096 is 69056027.

It can be written as a sum of positive squares in 2 ways, for example, as 72012196 + 52900 = 8486^2 + 230^2 .

It is a super-2 number, since 2×72065096² = 10386756122978432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72065099) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7331 + ... + 14066.

Almost surely, 2^72065096 is an apocalyptic number.

It is an amenable number.

72065096 is a deficient number, since it is larger than the sum of its proper divisors (63384244).

72065096 is a wasteful number, since it uses less digits than its factorization.

72065096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21824 (or 21820 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 72065096 is about 8489.1163262144. The cubic root of 72065096 is about 416.1421019714.

The spelling of 72065096 in words is "seventy-two million, sixty-five thousand, ninety-six".