85872312 has 96 divisors (see below), whose sum is σ = 243559680. Its totient is φ = 28343520.

The previous prime is 85872307. The next prime is 85872361. The reversal of 85872312 is 21327858.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316737 + ... + 317007.

It is an arithmetic number, because the mean of its divisors is an integer number (2537080).

Almost surely, 2^85872312 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 85872312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121779840).

85872312 is an abundant number, since it is smaller than the sum of its proper divisors (157687368).

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

85872312 is a wasteful number, since it uses less digits than its factorization.

85872312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 85872312 is about 9266.7314626032. The cubic root of 85872312 is about 441.1819324312.

The spelling of 85872312 in words is "eighty-five million, eight hundred seventy-two thousand, three hundred twelve".