72206081 has 2 divisors, whose sum is σ = 72206082. Its totient is φ = 72206080.

The previous prime is 72206059. The next prime is 72206083. The reversal of 72206081 is 18060227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65529025 + 6677056 = 8095^2 + 2584^2 .

It is a cyclic number.

It is not a de Polignac number, because 72206081 - 2¹⁰ = 72205057 is a prime.

It is a super-2 number, since 2×72206081² = 10427436266757122, which contains 22 as substring.

Together with 72206083, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_4240169 and since 72206081 and 4240169 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72206081.

It is not a weakly prime, because it can be changed into another prime (72206083) 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, 36103040 + 36103041.

It is an arithmetic number, because the mean of its divisors is an integer number (36103041).

Almost surely, 2^72206081 is an apocalyptic number.

It is an amenable number.

72206081 is a deficient number, since it is larger than the sum of its proper divisors (1).

72206081 is an equidigital number, since it uses as much as digits as its factorization.

72206081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 72206081 is about 8497.4161366853. The cubic root of 72206081 is about 416.4132992609.

The spelling of 72206081 in words is "seventy-two million, two hundred six thousand, eighty-one".