7258320 has 120 divisors (see below), whose sum is σ = 25853256. Its totient is φ = 1818624.

The previous prime is 7258319. The next prime is 7258331. The reversal of 7258320 is 238527.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 5419584 = 1356^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11944 + ... + 12536.

Almost surely, 2^7258320 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 7258320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926628).

7258320 is an abundant number, since it is smaller than the sum of its proper divisors (18594936).

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

7258320 is a wasteful number, since it uses less digits than its factorization.

7258320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7258320 is about 2694.1269457841. The cubic root of 7258320 is about 193.6178398059.

It can be divided in two parts, 725 and 8320, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 7258320 in words is "seven million, two hundred fifty-eight thousand, three hundred twenty".