7218288 has 240 divisors, whose sum is σ = 27141120. Its totient is φ = 1814400.

The previous prime is 7218269. The next prime is 7218311. The reversal of 7218288 is 8828127.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232833 + ... + 232863.

It is an arithmetic number, because the mean of its divisors is an integer number (113088).

Almost surely, 2^7218288 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 7218288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570560).

7218288 is an abundant number, since it is smaller than the sum of its proper divisors (19922832).

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

7218288 is a wasteful number, since it uses less digits than its factorization.

7218288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 7218288 is about 2686.6871794089. The cubic root of 7218288 is about 193.2612282308.

It can be divided in two parts, 721 and 8288, that added together give a palindrome (9009).

The spelling of 7218288 in words is "seven million, two hundred eighteen thousand, two hundred eighty-eight".