85272936 has 96 divisors (see below), whose sum is σ = 252396000. Its totient is φ = 23931264.

The previous prime is 85272883. The next prime is 85272949. The reversal of 85272936 is 63927258.

It is a super-2 number, since 2×85272936² = 14542947228120192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 68770 + ... + 69998.

It is an arithmetic number, because the mean of its divisors is an integer number (2629125).

Almost surely, 2^85272936 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 85272936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126198000).

85272936 is an abundant number, since it is smaller than the sum of its proper divisors (167123064).

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

85272936 is a wasteful number, since it uses less digits than its factorization.

85272936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1300 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 85272936 is about 9234.3346268153. The cubic root of 85272936 is about 440.1530734622.

The spelling of 85272936 in words is "eighty-five million, two hundred seventy-two thousand, nine hundred thirty-six".