72205697 has 2 divisors, whose sum is σ = 72205698. Its totient is φ = 72205696.

The previous prime is 72205673. The next prime is 72205703. The reversal of 72205697 is 79650227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37994896 + 34210801 = 6164^2 + 5849^2 .

It is a cyclic number.

It is not a de Polignac number, because 72205697 - 2²⁴ = 55428481 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72205697.

It is not a weakly prime, because it can be changed into another prime (72205997) 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, 36102848 + 36102849.

It is an arithmetic number, because the mean of its divisors is an integer number (36102849).

Almost surely, 2^72205697 is an apocalyptic number.

It is an amenable number.

72205697 is a deficient number, since it is larger than the sum of its proper divisors (1).

72205697 is an equidigital number, since it uses as much as digits as its factorization.

72205697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 72205697 is about 8497.3935415514. The cubic root of 72205697 is about 416.4125610821.

The spelling of 72205697 in words is "seventy-two million, two hundred five thousand, six hundred ninety-seven".