99927072 has 216 divisors, whose sum is σ = 338545116. Its totient is φ = 27869184.

The previous prime is 99927007. The next prime is 99927109. The reversal of 99927072 is 27072999.

It can be written as a sum of positive squares in 2 ways, for example, as 99920016 + 7056 = 9996^2 + 84^2 .

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 35 ways as a sum of consecutive naturals, for example, 1030128 + ... + 1030224.

Almost surely, 2^99927072 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 99927072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169272558).

99927072 is an abundant number, since it is smaller than the sum of its proper divisors (238618044).

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

99927072 is a wasteful number, since it uses less digits than its factorization.

99927072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 99927072 is about 9996.3529349458. The cubic root of 99927072 is about 464.0460219908.

The spelling of 99927072 in words is "ninety-nine million, nine hundred twenty-seven thousand, seventy-two".