7218000 has 120 divisors (see below), whose sum is σ = 25272936. Its totient is φ = 1920000.

The previous prime is 7217963. The next prime is 7218019. The reversal of 7218000 is 8127.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 7096896 = 348^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17800 + ... + 18200.

Almost surely, 2^7218000 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 7218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636468).

7218000 is an abundant number, since it is smaller than the sum of its proper divisors (18054936).

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

7218000 is a wasteful number, since it uses less digits than its factorization.

7218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7218000 is about 2686.6335812686. The cubic root of 7218000 is about 193.2586579087.

The spelling of 7218000 in words is "seven million, two hundred eighteen thousand".