7213248 has 84 divisors (see below), whose sum is σ = 23642320. Its totient is φ = 2059776.

The previous prime is 7213243. The next prime is 7213273. The reversal of 7213248 is 8423127.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7213243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3138 + ... + 4926.

Almost surely, 2^7213248 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 7213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11821160).

7213248 is an abundant number, since it is smaller than the sum of its proper divisors (16429072).

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

7213248 is a wasteful number, since it uses less digits than its factorization.

7213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1801 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 7213248 is about 2685.7490575257. The cubic root of 7213248 is about 193.2162377207.

It can be divided in two parts, 721 and 3248, that added together give a square (3969 = 63²).

The spelling of 7213248 in words is "seven million, two hundred thirteen thousand, two hundred forty-eight".