99538272 has 72 divisors (see below), whose sum is σ = 292219200. Its totient is φ = 32106240.

The previous prime is 99538267. The next prime is 99538277. The reversal of 99538272 is 27283599.

99538272 is a `hidden beast` number, since 99 + 538 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (99538267) and next prime (99538277).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99538277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3354 + ... + 14502.

It is an arithmetic number, because the mean of its divisors is an integer number (4058600).

Almost surely, 2^99538272 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 99538272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146109600).

99538272 is an abundant number, since it is smaller than the sum of its proper divisors (192680928).

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

99538272 is a wasteful number, since it uses less digits than its factorization.

99538272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11196 (or 11185 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 99538272 is about 9976.8868892055. The cubic root of 99538272 is about 463.4433971858.

It can be divided in two parts, 9953 and 8272, that added together give a square (18225 = 135²).

The spelling of 99538272 in words is "ninety-nine million, five hundred thirty-eight thousand, two hundred seventy-two".