85725200 has 60 divisors (see below), whose sum is σ = 224689488. Its totient is φ = 31171200.

The previous prime is 85725181. The next prime is 85725223. The reversal of 85725200 is 252758.

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 11 ways as a sum of consecutive naturals, for example, 5342 + ... + 14141.

Almost surely, 2^85725200 is an apocalyptic number.

85725200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85725200 is an abundant number, since it is smaller than the sum of its proper divisors (138964288).

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

85725200 is a wasteful number, since it uses less digits than its factorization.

85725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19512 (or 19501 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 85725200 is about 9258.7904177598. The cubic root of 85725200 is about 440.9298517424.

Adding to 85725200 its reverse (252758), we get a palindrome (85977958).

The spelling of 85725200 in words is "eighty-five million, seven hundred twenty-five thousand, two hundred".