99272800 has 144 divisors (see below), whose sum is σ = 274201200. Its totient is φ = 34764800.

The previous prime is 99272791. The next prime is 99272801. The reversal of 99272800 is 827299.

It is a self number, because there is not a number n which added to its sum of digits gives 99272800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99272801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255006 + ... + 255394.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 2^99272800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

99272800 is an abundant number, since it is smaller than the sum of its proper divisors (174928400).

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

99272800 is a wasteful number, since it uses less digits than its factorization.

99272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

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

The square root of 99272800 is about 9963.5736560734. The cubic root of 99272800 is about 463.0310238624.

The spelling of 99272800 in words is "ninety-nine million, two hundred seventy-two thousand, eight hundred".