7211232 has 144 divisors (see below), whose sum is σ = 24242400. Its totient is φ = 2032128.

The previous prime is 7211231. The next prime is 7211249. The reversal of 7211232 is 2321127.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7211231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98748 + ... + 98820.

It is an arithmetic number, because the mean of its divisors is an integer number (168350).

Almost surely, 2^7211232 is an apocalyptic number.

7211232 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 7211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12121200).

7211232 is an abundant number, since it is smaller than the sum of its proper divisors (17031168).

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

7211232 is a wasteful number, since it uses less digits than its factorization.

7211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 7211232 is about 2685.3737170085. The cubic root of 7211232 is about 193.1982356487.

7211232 divided by its product of digits (168) gives a palindrome (42924).

Adding to 7211232 its reverse (2321127), we get a palindrome (9532359).

It can be divided in two parts, 721 and 1232, that added together give a triangular number (1953 = T₆₂).

The spelling of 7211232 in words is "seven million, two hundred eleven thousand, two hundred thirty-two".