7212600 has 72 divisors (see below), whose sum is σ = 24228360. Its totient is φ = 1922880.

The previous prime is 7212599. The next prime is 7212637. The reversal of 7212600 is 62127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 204 + ... + 3803.

It is an arithmetic number, because the mean of its divisors is an integer number (336505).

Almost surely, 2^7212600 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 7212600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114180).

7212600 is an abundant number, since it is smaller than the sum of its proper divisors (17015760).

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

7212600 is a wasteful number, since it uses less digits than its factorization.

7212600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7212600 is about 2685.6284180802. The cubic root of 7212600 is about 193.2104517062.

Adding to 7212600 its reverse (62127), we get a palindrome (7274727).

It can be divided in two parts, 721 and 2600, that added together give a triangular number (3321 = T₈₁).

The spelling of 7212600 in words is "seven million, two hundred twelve thousand, six hundred".