7213312 has 36 divisors (see below), whose sum is σ = 15166480. Its totient is φ = 3414528.

The previous prime is 7213309. The next prime is 7213313. The reversal of 7213312 is 2133127.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 7213312.

It is not an unprimeable number, because it can be changed into a prime (7213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4123 + ... + 5605.

Almost surely, 2^7213312 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 7213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583240).

7213312 is an abundant number, since it is smaller than the sum of its proper divisors (7953168).

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

7213312 is a wasteful number, since it uses less digits than its factorization.

7213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1504 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 7213312 is about 2685.7609722386. The cubic root of 7213312 is about 193.2168091601.

Adding to 7213312 its reverse (2133127), we get a palindrome (9346439).

The spelling of 7213312 in words is "seven million, two hundred thirteen thousand, three hundred twelve".