85228672 has 64 divisors (see below), whose sum is σ = 179389440. Its totient is φ = 40273920.

The previous prime is 85228669. The next prime is 85228681. The reversal of 85228672 is 27682258.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186268 + ... + 186724.

It is an arithmetic number, because the mean of its divisors is an integer number (2802960).

Almost surely, 2^85228672 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 85228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89694720).

85228672 is an abundant number, since it is smaller than the sum of its proper divisors (94160768).

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

85228672 is a wasteful number, since it uses less digits than its factorization.

85228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 85228672 is about 9231.9376081081. The cubic root of 85228672 is about 440.0769011593.

The spelling of 85228672 in words is "eighty-five million, two hundred twenty-eight thousand, six hundred seventy-two".