85008272 has 20 divisors (see below), whose sum is σ = 165084300. Its totient is φ = 42405888.

The previous prime is 85008271. The next prime is 85008311. The reversal of 85008272 is 27280058.

It can be written as a sum of positive squares in 2 ways, for example, as 68492176 + 16516096 = 8276^2 + 4064^2 .

It is not an unprimeable number, because it can be changed into a prime (85008271) 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 in 3 ways as a sum of consecutive naturals, for example, 1268 + ... + 13100.

It is an arithmetic number, because the mean of its divisors is an integer number (8254215).

Almost surely, 2^85008272 is an apocalyptic number.

It is an amenable number.

85008272 is a deficient number, since it is larger than the sum of its proper divisors (80076028).

85008272 is a wasteful number, since it uses less digits than its factorization.

85008272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12284 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 85008272 is about 9219.9930585657. The cubic root of 85008272 is about 439.6972297238.

The spelling of 85008272 in words is "eighty-five million, eight thousand, two hundred seventy-two".