96672 has 48 divisors (see below), whose sum is σ = 272160. Its totient is φ = 29952.

The previous prime is 96671. The next prime is 96697. The reversal of 96672 is 27669.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96672.

It is not an unprimeable number, because it can be changed into a prime (96671) 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, 1798 + ... + 1850.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁹⁶⁶⁷² 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 96672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

96672 is an abundant number, since it is smaller than the sum of its proper divisors (175488).

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

96672 is a wasteful number, since it uses less digits than its factorization.

96672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 96672 is about 310.9212118849. The cubic root of 96672 is about 45.8951613698.

It can be divided in two parts, 9667 and 2, that added together give a palindrome (9669).

The spelling of 96672 in words is "ninety-six thousand, six hundred seventy-two".