72165307 has 2 divisors, whose sum is σ = 72165308. Its totient is φ = 72165306.

The previous prime is 72165293. The next prime is 72165377. The reversal of 72165307 is 70356127.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72165307 is a prime.

It is not a weakly prime, because it can be changed into another prime (72165377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082653 + 36082654.

It is an arithmetic number, because the mean of its divisors is an integer number (36082654).

Almost surely, 2^72165307 is an apocalyptic number.

72165307 is a deficient number, since it is larger than the sum of its proper divisors (1).

72165307 is an equidigital number, since it uses as much as digits as its factorization.

72165307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 72165307 is about 8495.0165979826. The cubic root of 72165307 is about 416.3349031270.

The spelling of 72165307 in words is "seventy-two million, one hundred sixty-five thousand, three hundred seven".