85972800 has 84 divisors (see below), whose sum is σ = 282078176. Its totient is φ = 22924800.

The previous prime is 85972763. The next prime is 85972813. The reversal of 85972800 is 827958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4156 + ... + 13755.

Almost surely, 2^85972800 is an apocalyptic number.

85972800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85972800 is an abundant number, since it is smaller than the sum of its proper divisors (196105376).

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

85972800 is a wasteful number, since it uses less digits than its factorization.

85972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17936 (or 17921 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 85972800 is about 9272.1518538039. The cubic root of 85972800 is about 441.3539560912.

The spelling of 85972800 in words is "eighty-five million, nine hundred seventy-two thousand, eight hundred".