272085633 has 12 divisors (see below), whose sum is σ = 393212820. Its totient is φ = 181298016.

The previous prime is 272085589. The next prime is 272085677. The reversal of 272085633 is 336580272.

It is an interprime number because it is at equal distance from previous prime (272085589) and next prime (272085677).

It can be written as a sum of positive squares in 2 ways, for example, as 236944449 + 35141184 = 15393^2 + 5928^2 .

It is not a de Polignac number, because 272085633 - 2¹⁴ = 272069249 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (272085433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14235 + ... + 27327.

It is an arithmetic number, because the mean of its divisors is an integer number (32767735).

Almost surely, 2^272085633 is an apocalyptic number.

It is an amenable number.

272085633 is a deficient number, since it is larger than the sum of its proper divisors (121127187).

272085633 is a wasteful number, since it uses less digits than its factorization.

272085633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15408 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 272085633 is about 16495.0184298169. The cubic root of 272085633 is about 647.9903476500.

The spelling of 272085633 in words is "two hundred seventy-two million, eighty-five thousand, six hundred thirty-three".