7224672 has 96 divisors (see below), whose sum is σ = 23369472. Its totient is φ = 1903104.

The previous prime is 7224671. The next prime is 7224673. The reversal of 7224672 is 2764227.

7224672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7224671) and next prime (7224673).

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

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

It is a d-powerful number, because it can be written as 7⁴ + 2³ + 2⁹ + 4¹¹ + 6⁸ + 7⁷ + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7224671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8323 + ... + 9149.

It is an arithmetic number, because the mean of its divisors is an integer number (243432).

Almost surely, 2^7224672 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 7224672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684736).

7224672 is an abundant number, since it is smaller than the sum of its proper divisors (16144800).

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

7224672 is a wasteful number, since it uses less digits than its factorization.

7224672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 7224672 is about 2687.8749970934. The cubic root of 7224672 is about 193.3181861564.

Adding to 7224672 its reverse (2764227), we get a palindrome (9988899).

The spelling of 7224672 in words is "seven million, two hundred twenty-four thousand, six hundred seventy-two".