72205673 has 2 divisors, whose sum is σ = 72205674. Its totient is φ = 72205672.

The previous prime is 72205669. The next prime is 72205697. The reversal of 72205673 is 37650227.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64432729 + 7772944 = 8027^2 + 2788^2 .

It is an emirp because it is prime and its reverse (37650227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72205673 - 2² = 72205669 is a prime.

It is not a weakly prime, because it can be changed into another prime (72295673) 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, 36102836 + 36102837.

It is an arithmetic number, because the mean of its divisors is an integer number (36102837).

Almost surely, 2^72205673 is an apocalyptic number.

It is an amenable number.

72205673 is a deficient number, since it is larger than the sum of its proper divisors (1).

72205673 is an equidigital number, since it uses as much as digits as its factorization.

72205673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 72205673 is about 8497.3921293536. The cubic root of 72205673 is about 416.4125149459.

The spelling of 72205673 in words is "seventy-two million, two hundred five thousand, six hundred seventy-three".