7968672 has 96 divisors (see below), whose sum is σ = 24312960. Its totient is φ = 2534400.

The previous prime is 7968661. The next prime is 7968673. The reversal of 7968672 is 2768697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (7968673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19672 + ... + 20072.

It is an arithmetic number, because the mean of its divisors is an integer number (253260).

Almost surely, 2^7968672 is an apocalyptic number.

7968672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7968672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156480).

7968672 is an abundant number, since it is smaller than the sum of its proper divisors (16344288).

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

7968672 is a wasteful number, since it uses less digits than its factorization.

7968672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 7968672 is about 2822.8836320330. The cubic root of 7968672 is about 199.7385918110.

The spelling of 7968672 in words is "seven million, nine hundred sixty-eight thousand, six hundred seventy-two".