7285248 has 160 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 2211840.

The previous prime is 7285247. The next prime is 7285253. The reversal of 7285248 is 8425827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7285241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234993 + ... + 235023.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 2^7285248 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 7285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

7285248 is an abundant number, since it is smaller than the sum of its proper divisors (16284672).

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

7285248 is a wasteful number, since it uses less digits than its factorization.

7285248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 7285248 is about 2699.1198565458. The cubic root of 7285248 is about 193.8569817779.

It can be divided in two parts, 72852 and 48, that added together give a square (72900 = 270²).

The spelling of 7285248 in words is "seven million, two hundred eighty-five thousand, two hundred forty-eight".