7352268 has 96 divisors (see below), whose sum is σ = 21880320. Its totient is φ = 1866240.

The previous prime is 7352251. The next prime is 7352273. The reversal of 7352268 is 8622537.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67398 + ... + 67506.

It is an arithmetic number, because the mean of its divisors is an integer number (227920).

Almost surely, 2^7352268 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 7352268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10940160).

7352268 is an abundant number, since it is smaller than the sum of its proper divisors (14528052).

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

7352268 is a wasteful number, since it uses less digits than its factorization.

7352268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 7352268 is about 2711.5065922841. The cubic root of 7352268 is about 194.4496249202.

It can be divided in two parts, 735 and 2268, that added together give a palindrome (3003).

The spelling of 7352268 in words is "seven million, three hundred fifty-two thousand, two hundred sixty-eight".