99552 has 48 divisors (see below), whose sum is σ = 281232. Its totient is φ = 30720.

The previous prime is 99551. The next prime is 99559. The reversal of 99552 is 25599.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1602 + ... + 1662.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2⁹⁹⁵⁵² 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 99552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616).

99552 is an abundant number, since it is smaller than the sum of its proper divisors (181680).

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

99552 is a wasteful number, since it uses less digits than its factorization.

99552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 4050, while the sum is 30.

The square root of 99552 is about 315.5186206866. The cubic root of 99552 is about 46.3464701750.

The spelling of 99552 in words is "ninety-nine thousand, five hundred fifty-two".