99985272 has 64 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 31825920.

The previous prime is 99985271. The next prime is 99985273. The reversal of 99985272 is 27258999.

It is an interprime number because it is at equal distance from previous prime (99985271) and next prime (99985273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99985271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66772 + ... + 68252.

Almost surely, 2^99985272 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 99985272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

99985272 is an abundant number, since it is smaller than the sum of its proper divisors (161439528).

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

99985272 is a wasteful number, since it uses less digits than its factorization.

99985272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1612 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 99985272 is about 9999.2635728838. The cubic root of 99985272 is about 464.1360951357.

The spelling of 99985272 in words is "ninety-nine million, nine hundred eighty-five thousand, two hundred seventy-two".