99872000 has 72 divisors (see below), whose sum is σ = 248873352. Its totient is φ = 39936000.

The previous prime is 99871963. The next prime is 99872011. The reversal of 99872000 is 27899.

It can be written as a sum of positive squares in 4 ways, for example, as 31181056 + 68690944 = 5584^2 + 8288^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30440 + ... + 33560.

Almost surely, 2^99872000 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 99872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124436676).

99872000 is an abundant number, since it is smaller than the sum of its proper divisors (149001352).

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

99872000 is an equidigital number, since it uses as much as digits as its factorization.

99872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 99872000 is about 9993.5979506882. The cubic root of 99872000 is about 463.9607576800.

Adding to 99872000 its reverse (27899), we get a palindrome (99899899).

The spelling of 99872000 in words is "ninety-nine million, eight hundred seventy-two thousand".