85272152 has 72 divisors (see below), whose sum is σ = 197624700. Its totient is φ = 34298208.

The previous prime is 85272149. The next prime is 85272163. The reversal of 85272152 is 25127258.

It is a happy number.

It is a super-2 number, since 2×85272152² = 14542679813422208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 796883 + ... + 796989.

Almost surely, 2^85272152 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 85272152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98812350).

85272152 is an abundant number, since it is smaller than the sum of its proper divisors (112352548).

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

85272152 is a wasteful number, since it uses less digits than its factorization.

85272152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 135 counting only the distinct ones).

The product of its digits is 11200, while the sum is 32.

The square root of 85272152 is about 9234.2921764475. The cubic root of 85272152 is about 440.1517245345.

The spelling of 85272152 in words is "eighty-five million, two hundred seventy-two thousand, one hundred fifty-two".