99826272 has 216 divisors, whose sum is σ = 352510704. Its totient is φ = 26237952.

The previous prime is 99826271. The next prime is 99826273. The reversal of 99826272 is 27262899.

It is an interprime number because it is at equal distance from previous prime (99826271) and next prime (99826273).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99826271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340558 + ... + 340850.

It is an arithmetic number, because the mean of its divisors is an integer number (1631994).

Almost surely, 2^99826272 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 99826272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176255352).

99826272 is an abundant number, since it is smaller than the sum of its proper divisors (252684432).

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

99826272 is a wasteful number, since it uses less digits than its factorization.

99826272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 99826272 is about 9991.3098240421. The cubic root of 99826272 is about 463.8899362407.

The spelling of 99826272 in words is "ninety-nine million, eight hundred twenty-six thousand, two hundred seventy-two".