7024272 has 40 divisors (see below), whose sum is σ = 18451200. Its totient is φ = 2302080.

The previous prime is 7024267. The next prime is 7024273. The reversal of 7024272 is 2724207.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (7024273) 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 7 ways as a sum of consecutive naturals, for example, 1729 + ... + 4127.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 2^7024272 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 7024272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9225600).

7024272 is an abundant number, since it is smaller than the sum of its proper divisors (11426928).

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

7024272 is a wasteful number, since it uses less digits than its factorization.

7024272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 7024272 is about 2650.3343185342. The cubic root of 7024272 is about 191.5139616287.

Adding to 7024272 its reverse (2724207), we get a palindrome (9748479).

It can be divided in two parts, 70 and 24272, that added together give a palindrome (24342).

The spelling of 7024272 in words is "seven million, twenty-four thousand, two hundred seventy-two".