99712 has 32 divisors (see below), whose sum is σ = 214200. Its totient is φ = 46080.

The previous prime is 99709. The next prime is 99713. The reversal of 99712 is 21799.

It is a tau number, because it is divible by the number of its divisors (32).

It is a magnanimous number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2412 + ... + 2452.

2⁹⁹⁷¹² 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 99712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107100).

99712 is an abundant number, since it is smaller than the sum of its proper divisors (114488).

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

99712 is a wasteful number, since it uses less digits than its factorization.

99712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 62 counting only the distinct ones).

The product of its digits is 1134, while the sum is 28.

The square root of 99712 is about 315.7720696958. The cubic root of 99712 is about 46.3712862379.

The spelling of 99712 in words is "ninety-nine thousand, seven hundred twelve".