7248160 has 48 divisors (see below), whose sum is σ = 17350200. Its totient is φ = 2861056.

The previous prime is 7248119. The next prime is 7248167. The reversal of 7248160 is 618427.

7248160 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 1430416 = 2412^2 + 1196^2 .

It is not an unprimeable number, because it can be changed into a prime (7248167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13986 + ... + 14494.

Almost surely, 2^7248160 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 7248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675100).

7248160 is an abundant number, since it is smaller than the sum of its proper divisors (10102040).

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

7248160 is a wasteful number, since it uses less digits than its factorization.

7248160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7248160 is about 2692.2407024633. The cubic root of 7248160 is about 193.5274572828.

The spelling of 7248160 in words is "seven million, two hundred forty-eight thousand, one hundred sixty".