7213600 has 72 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 2822400.

The previous prime is 7213571. The next prime is 7213601. The reversal of 7213600 is 63127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7213601) 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, 56737 + ... + 56863.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^7213600 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 7213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

7213600 is an abundant number, since it is smaller than the sum of its proper divisors (10785248).

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

7213600 is a wasteful number, since it uses less digits than its factorization.

7213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

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

The square root of 7213600 is about 2685.8145877927. The cubic root of 7213600 is about 193.2193805956.

Adding to 7213600 its reverse (63127), we get a palindrome (7276727).

The spelling of 7213600 in words is "seven million, two hundred thirteen thousand, six hundred".