72605737 has 2 divisors, whose sum is σ = 72605738. Its totient is φ = 72605736.

The previous prime is 72605719. The next prime is 72605791. The reversal of 72605737 is 73750627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67502656 + 5103081 = 8216^2 + 2259^2 .

It is a cyclic number.

It is not a de Polignac number, because 72605737 - 2⁷ = 72605609 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72605696 and 72605705.

It is not a weakly prime, because it can be changed into another prime (72608737) 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, 36302868 + 36302869.

It is an arithmetic number, because the mean of its divisors is an integer number (36302869).

Almost surely, 2^72605737 is an apocalyptic number.

It is an amenable number.

72605737 is a deficient number, since it is larger than the sum of its proper divisors (1).

72605737 is an equidigital number, since it uses as much as digits as its factorization.

72605737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61740, while the sum is 37.

The square root of 72605737 is about 8520.9000111491. The cubic root of 72605737 is about 417.1801597375.

The spelling of 72605737 in words is "seventy-two million, six hundred five thousand, seven hundred thirty-seven".