85168272 has 100 divisors (see below), whose sum is σ = 257019760. Its totient is φ = 24300864.

The previous prime is 85168271. The next prime is 85168289. The reversal of 85168272 is 27286158.

It is a super-3 number, since 3×85168272³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85168272.

It is not an unprimeable number, because it can be changed into a prime (85168271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114879 + ... + 115617.

Almost surely, 2^85168272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85168272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128509880).

85168272 is an abundant number, since it is smaller than the sum of its proper divisors (171851488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85168272 is an equidigital number, since it uses as much as digits as its factorization.

85168272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 751 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 85168272 is about 9228.6657757229. The cubic root of 85168272 is about 439.9729184434.

The spelling of 85168272 in words is "eighty-five million, one hundred sixty-eight thousand, two hundred seventy-two".