7258272 has 72 divisors (see below), whose sum is σ = 22178016. Its totient is φ = 2072448.

The previous prime is 7258261. The next prime is 7258291. The reversal of 7258272 is 2728527.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3933 + ... + 5475.

It is an arithmetic number, because the mean of its divisors is an integer number (308028).

Almost surely, 2^7258272 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 7258272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089008).

7258272 is an abundant number, since it is smaller than the sum of its proper divisors (14919744).

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

7258272 is a wasteful number, since it uses less digits than its factorization.

7258272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1555 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 7258272 is about 2694.1180375032. The cubic root of 7258272 is about 193.6174130002.

The spelling of 7258272 in words is "seven million, two hundred fifty-eight thousand, two hundred seventy-two".