7268832 has 96 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 2358144.

The previous prime is 7268827. The next prime is 7268857. The reversal of 7268832 is 2388627.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 40519 + ... + 40697.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^7268832 is an apocalyptic number.

7268832 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 7268832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

7268832 is an abundant number, since it is smaller than the sum of its proper divisors (14503968).

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

7268832 is a wasteful number, since it uses less digits than its factorization.

7268832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7268832 is about 2696.0771502314. The cubic root of 7268832 is about 193.7112649585.

It can be divided in two parts, 7268 and 832, that added together give a square (8100 = 90²).

The spelling of 7268832 in words is "seven million, two hundred sixty-eight thousand, eight hundred thirty-two".