99072 has 54 divisors (see below), whose sum is σ = 292292. Its totient is φ = 32256.

The previous prime is 99053. The next prime is 99079. The reversal of 99072 is 27099.

99072 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×99072² = 19630522368, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (99079) by changing a digit.

99072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2283 + ... + 2325.

2⁹⁹⁰⁷² 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 99072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146146).

99072 is an abundant number, since it is smaller than the sum of its proper divisors (193220).

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

99072 is a wasteful number, since it uses less digits than its factorization.

99072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 99072 is about 314.7570491665. The cubic root of 99072 is about 46.2718620773.

Adding to 99072 its sum of digits (27), we get a palindrome (99099).

The spelling of 99072 in words is "ninety-nine thousand, seventy-two".