72205033 has 2 divisors, whose sum is σ = 72205034. Its totient is φ = 72205032.

The previous prime is 72204989. The next prime is 72205039. The reversal of 72205033 is 33050227.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72131049 + 73984 = 8493^2 + 272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72205033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72204995 and 72205013.

It is not a weakly prime, because it can be changed into another prime (72205039) 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, 36102516 + 36102517.

It is an arithmetic number, because the mean of its divisors is an integer number (36102517).

Almost surely, 2^72205033 is an apocalyptic number.

It is an amenable number.

72205033 is a deficient number, since it is larger than the sum of its proper divisors (1).

72205033 is an equidigital number, since it uses as much as digits as its factorization.

72205033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 72205033 is about 8497.3544706573. The cubic root of 72205033 is about 416.4112846418.

The spelling of 72205033 in words is "seventy-two million, two hundred five thousand, thirty-three".