72563093 has 2 divisors, whose sum is σ = 72563094. Its totient is φ = 72563092.

The previous prime is 72563053. The next prime is 72563119. The reversal of 72563093 is 39036527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43586404 + 28976689 = 6602^2 + 5383^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72563093 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72563053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36281546 + 36281547.

It is an arithmetic number, because the mean of its divisors is an integer number (36281547).

Almost surely, 2^72563093 is an apocalyptic number.

It is an amenable number.

72563093 is a deficient number, since it is larger than the sum of its proper divisors (1).

72563093 is an equidigital number, since it uses as much as digits as its factorization.

72563093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 72563093 is about 8518.3973257885. The cubic root of 72563093 is about 417.0984686960.

The spelling of 72563093 in words is "seventy-two million, five hundred sixty-three thousand, ninety-three".