99271872 has 224 divisors, whose sum is σ = 346252800. Its totient is φ = 27288576.

The previous prime is 99271871. The next prime is 99271873. The reversal of 99271872 is 27817299.

It is an interprime number because it is at equal distance from previous prime (99271871) and next prime (99271873).

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (127008) is a multiple of the sum of its prime divisors (324).

It is not an unprimeable number, because it can be changed into a prime (99271871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350643 + ... + 350925.

Almost surely, 2^99271872 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 99271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173126400).

99271872 is an abundant number, since it is smaller than the sum of its proper divisors (246980928).

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

99271872 is a wasteful number, since it uses less digits than its factorization.

99271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 99271872 is about 9963.5270863284. The cubic root of 99271872 is about 463.0295810566.

The spelling of 99271872 in words is "ninety-nine million, two hundred seventy-one thousand, eight hundred seventy-two".