72156017 has 2 divisors, whose sum is σ = 72156018. Its totient is φ = 72156016.

The previous prime is 72156013. The next prime is 72156059. The reversal of 72156017 is 71065127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59737441 + 12418576 = 7729^2 + 3524^2 .

It is a cyclic number.

It is not a de Polignac number, because 72156017 - 2² = 72156013 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72156011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36078008 + 36078009.

It is an arithmetic number, because the mean of its divisors is an integer number (36078009).

Almost surely, 2^72156017 is an apocalyptic number.

It is an amenable number.

72156017 is a deficient number, since it is larger than the sum of its proper divisors (1).

72156017 is an equidigital number, since it uses as much as digits as its factorization.

72156017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 72156017 is about 8494.4697892217. The cubic root of 72156017 is about 416.3170371219.

The spelling of 72156017 in words is "seventy-two million, one hundred fifty-six thousand, seventeen".