85723200 has 126 divisors (see below), whose sum is σ = 304731674. Its totient is φ = 22855680.

The previous prime is 85723189. The next prime is 85723237. The reversal of 85723200 is 232758.

It can be written as a sum of positive squares in 3 ways, for example, as 788544 + 84934656 = 888^2 + 9216^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 11424 + ... + 17376.

Almost surely, 2^85723200 is an apocalyptic number.

85723200 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 85723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152365837).

85723200 is an abundant number, since it is smaller than the sum of its proper divisors (219008474).

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

85723200 is a wasteful number, since it uses less digits than its factorization.

85723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 85723200 is about 9258.6824116610. The cubic root of 85723200 is about 440.9264226980.

Adding to 85723200 its reverse (232758), we get a palindrome (85955958).

The spelling of 85723200 in words is "eighty-five million, seven hundred twenty-three thousand, two hundred".