7248000 has 128 divisors (see below), whose sum is σ = 24186240. Its totient is φ = 1920000.

The previous prime is 7247983. The next prime is 7248019. The reversal of 7248000 is 8427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47925 + ... + 48075.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

Almost surely, 2^7248000 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 7248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12093120).

7248000 is an abundant number, since it is smaller than the sum of its proper divisors (16938240).

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

7248000 is a wasteful number, since it uses less digits than its factorization.

7248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 7248000 is about 2692.2109872742. The cubic root of 7248000 is about 193.5260332606.

The spelling of 7248000 in words is "seven million, two hundred forty-eight thousand".