7672 has 16 divisors (see below), whose sum is σ = 16560. Its totient is φ = 3264.

The previous prime is 7669. The next prime is 7673. The reversal of 7672 is 2767.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 124.

It is an arithmetic number, because the mean of its divisors is an integer number (1035).

2⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

7672 is an abundant number, since it is smaller than the sum of its proper divisors (8888).

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 (8280).

7672 is a wasteful number, since it uses less digits than its factorization.

7672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its digits is 588, while the sum is 22.

The square root of 7672 is about 87.5899537618. The cubic root of 7672 is about 19.7228436255.

The spelling of 7672 in words is "seven thousand, six hundred seventy-two".