7202272 has 96 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 2695680.

The previous prime is 7202269. The next prime is 7202287. The reversal of 7202272 is 2722027.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

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, 91129 + ... + 91207.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 2^7202272 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 7202272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

7202272 is an abundant number, since it is smaller than the sum of its proper divisors (11183648).

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

7202272 is a wasteful number, since it uses less digits than its factorization.

7202272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 7202272 is about 2683.7049018102. The cubic root of 7202272 is about 193.1181858210.

Adding to 7202272 its reverse (2722027), we get a palindrome (9924299).

It can be divided in two parts, 720 and 2272, that added together give a palindrome (2992).

The spelling of 7202272 in words is "seven million, two hundred two thousand, two hundred seventy-two".