89729200 has 60 divisors (see below), whose sum is σ = 235183608. Its totient is φ = 32627200.

The previous prime is 89729149. The next prime is 89729239. The reversal of 89729200 is 292798.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 89729200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5797 + ... + 14596.

Almost surely, 2^89729200 is an apocalyptic number.

89729200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89729200 is an abundant number, since it is smaller than the sum of its proper divisors (145454408).

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

89729200 is a wasteful number, since it uses less digits than its factorization.

89729200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20422 (or 20411 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 89729200 is about 9472.5498151237. The cubic root of 89729200 is about 447.6905548023.

The spelling of 89729200 in words is "eighty-nine million, seven hundred twenty-nine thousand, two hundred".