72164097 has 18 divisors (see below), whose sum is σ = 107148678. Its totient is φ = 46801152.

The previous prime is 72164047. The next prime is 72164107. The reversal of 72164097 is 79046127.

It is a happy number.

72164097 is a `hidden beast` number, since 7 + 2 + 1 + 640 + 9 + 7 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 58614336 + 13549761 = 7656^2 + 3681^2 .

It is not a de Polignac number, because 72164097 - 2⁷ = 72163969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72164017) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9393 + ... + 15249.

Almost surely, 2^72164097 is an apocalyptic number.

It is an amenable number.

72164097 is a deficient number, since it is larger than the sum of its proper divisors (34984581).

72164097 is a wasteful number, since it uses less digits than its factorization.

72164097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72164097 is about 8494.9453794595. The cubic root of 72164097 is about 416.3325762099.

The spelling of 72164097 in words is "seventy-two million, one hundred sixty-four thousand, ninety-seven".