7348224 has 112 divisors (see below), whose sum is σ = 22018752. Its totient is φ = 2162688.

The previous prime is 7348213. The next prime is 7348241. The reversal of 7348224 is 4228437.

It is a d-powerful number, because it can be written as 7 + 3¹² + 4⁵ + 8 + 2¹⁹ + 2²¹ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 7348191 and 7348200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319477 + ... + 319499.

It is an arithmetic number, because the mean of its divisors is an integer number (196596).

Almost surely, 2^7348224 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 7348224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11009376).

7348224 is an abundant number, since it is smaller than the sum of its proper divisors (14670528).

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

7348224 is a wasteful number, since it uses less digits than its factorization.

7348224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 7348224 is about 2710.7607788221. The cubic root of 7348224 is about 194.4139670569.

The spelling of 7348224 in words is "seven million, three hundred forty-eight thousand, two hundred twenty-four".