72205937 has 2 divisors, whose sum is σ = 72205938. Its totient is φ = 72205936.

The previous prime is 72205891. The next prime is 72205997. The reversal of 72205937 is 73950227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51036736 + 21169201 = 7144^2 + 4601^2 .

It is a cyclic number.

It is not a de Polignac number, because 72205937 - 2¹² = 72201841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72205897 and 72205906.

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 (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36102968 + 36102969.

It is an arithmetic number, because the mean of its divisors is an integer number (36102969).

Almost surely, 2^72205937 is an apocalyptic number.

It is an amenable number.

72205937 is a deficient number, since it is larger than the sum of its proper divisors (1).

72205937 is an equidigital number, since it uses as much as digits as its factorization.

72205937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 72205937 is about 8497.4076635172. The cubic root of 72205937 is about 416.4130224442.

The spelling of 72205937 in words is "seventy-two million, two hundred five thousand, nine hundred thirty-seven".