7328832 has 168 divisors, whose sum is σ = 24323040. Its totient is φ = 1935360.

The previous prime is 7328831. The next prime is 7328837. The reversal of 7328832 is 2388237.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (16128) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 7328793 and 7328802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7328831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178732 + ... + 178772.

It is an arithmetic number, because the mean of its divisors is an integer number (144780).

Almost surely, 2^7328832 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 7328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161520).

7328832 is an abundant number, since it is smaller than the sum of its proper divisors (16994208).

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

7328832 is a wasteful number, since it uses less digits than its factorization.

7328832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 7328832 is about 2707.1815602209. The cubic root of 7328832 is about 194.2427965838.

The spelling of 7328832 in words is "seven million, three hundred twenty-eight thousand, eight hundred thirty-two".