99972800 has 42 divisors (see below), whose sum is σ = 245999508. Its totient is φ = 39988480.

The previous prime is 99972793. The next prime is 99972809. The reversal of 99972800 is 827999.

It is not an unprimeable number, because it can be changed into a prime (99972809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29642 + ... + 32841.

Almost surely, 2^99972800 is an apocalyptic number.

It is an amenable number.

99972800 is an abundant number, since it is smaller than the sum of its proper divisors (146026708).

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

99972800 is a wasteful number, since it uses less digits than its factorization.

99972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62505 (or 62490 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The square root of 99972800 is about 9998.6399075074. The cubic root of 99972800 is about 464.1167958064.

The spelling of 99972800 in words is "ninety-nine million, nine hundred seventy-two thousand, eight hundred".