72176409 has 12 divisors (see below), whose sum is σ = 104336596. Its totient is φ = 48079872.

The previous prime is 72176393. The next prime is 72176413. The reversal of 72176409 is 90467127.

It is a happy number.

72176409 is a `hidden beast` number, since 7 + 2 + 1 + 7 + 640 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 60886809 = 3360^2 + 7803^2 .

It is not a de Polignac number, because 72176409 - 2⁴ = 72176393 is a prime.

It is a super-2 number, since 2×72176409² = 10418868032270562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72176479) 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, 13737 + ... + 18249.

Almost surely, 2^72176409 is an apocalyptic number.

It is an amenable number.

72176409 is a deficient number, since it is larger than the sum of its proper divisors (32160187).

72176409 is a wasteful number, since it uses less digits than its factorization.

72176409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6293 counting only the distinct ones).

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

The square root of 72176409 is about 8495.6700147781. The cubic root of 72176409 is about 416.3562518576.

The spelling of 72176409 in words is "seventy-two million, one hundred seventy-six thousand, four hundred nine".