85027872 has 96 divisors (see below), whose sum is σ = 235896192. Its totient is φ = 26763264.

The previous prime is 85027853. The next prime is 85027889. The reversal of 85027872 is 27872058.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 85027872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213978 + ... + 214374.

It is an arithmetic number, because the mean of its divisors is an integer number (2457252).

Almost surely, 2^85027872 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 85027872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117948096).

85027872 is an abundant number, since it is smaller than the sum of its proper divisors (150868320).

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

85027872 is a wasteful number, since it uses less digits than its factorization.

85027872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 85027872 is about 9221.0559048300. The cubic root of 85027872 is about 439.7310201744.

The spelling of 85027872 in words is "eighty-five million, twenty-seven thousand, eight hundred seventy-two".