7224000 has 224 divisors, whose sum is σ = 27895296. Its totient is φ = 1612800.

The previous prime is 7223999. The next prime is 7224029. The reversal of 7224000 is 4227.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 167979 + ... + 168021.

Almost surely, 2^7224000 is an apocalyptic number.

7224000 is a gapful number since it is divisible by the number (70) 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 7224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947648).

7224000 is an abundant number, since it is smaller than the sum of its proper divisors (20671296).

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

7224000 is a wasteful number, since it uses less digits than its factorization.

7224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 7224000 is about 2687.7499883732. The cubic root of 7224000 is about 193.3121921658.

Adding to 7224000 its reverse (4227), we get a palindrome (7228227).

It can be divided in two parts, 72 and 24000, that multiplied together give a cube (1728000 = 120³).

The spelling of 7224000 in words is "seven million, two hundred twenty-four thousand".