272005033 has 2 divisors, whose sum is σ = 272005034. Its totient is φ = 272005032.

The previous prime is 272005009. The next prime is 272005037. The reversal of 272005033 is 330500272.

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., 243734544 + 28270489 = 15612^2 + 5317^2 .

It is a cyclic number.

It is not a de Polignac number, because 272005033 - 2¹³ = 271996841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 272004995 and 272005013.

It is not a weakly prime, because it can be changed into another prime (272005037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136002516 + 136002517.

It is an arithmetic number, because the mean of its divisors is an integer number (136002517).

Almost surely, 2^272005033 is an apocalyptic number.

It is an amenable number.

272005033 is a deficient number, since it is larger than the sum of its proper divisors (1).

272005033 is an equidigital number, since it uses as much as digits as its factorization.

272005033 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 272005033 is about 16492.5750869899. The cubic root of 272005033 is about 647.9263565461.

The spelling of 272005033 in words is "two hundred seventy-two million, five thousand, thirty-three".