72805697 has 2 divisors, whose sum is σ = 72805698. Its totient is φ = 72805696.

The previous prime is 72805693. The next prime is 72805699. The reversal of 72805697 is 79650827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39639616 + 33166081 = 6296^2 + 5759^2 .

It is a cyclic number.

It is not a de Polignac number, because 72805697 - 2² = 72805693 is a prime.

Together with 72805699, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72805693) 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, 36402848 + 36402849.

It is an arithmetic number, because the mean of its divisors is an integer number (36402849).

Almost surely, 2^72805697 is an apocalyptic number.

It is an amenable number.

72805697 is a deficient number, since it is larger than the sum of its proper divisors (1).

72805697 is an equidigital number, since it uses as much as digits as its factorization.

72805697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 72805697 is about 8532.6254458988. The cubic root of 72805697 is about 417.5627873586.

The spelling of 72805697 in words is "seventy-two million, eight hundred five thousand, six hundred ninety-seven".