99672 has 16 divisors (see below), whose sum is σ = 249240. Its totient is φ = 33216.

The previous prime is 99667. The next prime is 99679. The reversal of 99672 is 27699.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2053 + ... + 2100.

2⁹⁹⁶⁷² is an apocalyptic number.

It is an amenable number.

99672 is an abundant number, since it is smaller than the sum of its proper divisors (149568).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124620).

99672 is a wasteful number, since it uses less digits than its factorization.

99672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4158 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 99672 is about 315.7087265186. The cubic root of 99672 is about 46.3650847124.

The spelling of 99672 in words is "ninety-nine thousand, six hundred seventy-two".