85075200 has 324 divisors, whose sum is σ = 349262368. Its totient is φ = 19353600.

The previous prime is 85075181. The next prime is 85075201. The reversal of 85075200 is 257058.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85075201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 403095 + ... + 403305.

Almost surely, 2^85075200 is an apocalyptic number.

85075200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174631184).

85075200 is an abundant number, since it is smaller than the sum of its proper divisors (264187168).

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

85075200 is a wasteful number, since it uses less digits than its factorization.

85075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 85075200 is about 9223.6218482763. The cubic root of 85075200 is about 439.8125923658.

The spelling of 85075200 in words is "eighty-five million, seventy-five thousand, two hundred".