7328672 has 48 divisors (see below), whose sum is σ = 15805440. Its totient is φ = 3324672.

The previous prime is 7328669. The next prime is 7328693. The reversal of 7328672 is 2768237.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32753 + ... + 32975.

It is an arithmetic number, because the mean of its divisors is an integer number (329280).

Almost surely, 2^7328672 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 7328672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902720).

7328672 is an abundant number, since it is smaller than the sum of its proper divisors (8476768).

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

7328672 is a wasteful number, since it uses less digits than its factorization.

7328672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its digits is 28224, while the sum is 35.

The square root of 7328672 is about 2707.1520090309. The cubic root of 7328672 is about 194.2413830310.

It can be divided in two parts, 7328 and 672, that added together give a cube (8000 = 20³).

The spelling of 7328672 in words is "seven million, three hundred twenty-eight thousand, six hundred seventy-two".