7282188 has 72 divisors (see below), whose sum is σ = 19878768. Its totient is φ = 2239488.

The previous prime is 7282183. The next prime is 7282213. The reversal of 7282188 is 8812827.

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

It is not an unprimeable number, because it can be changed into a prime (7282183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44595 + ... + 44757.

It is an arithmetic number, because the mean of its divisors is an integer number (276094).

Almost surely, 2^7282188 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 7282188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939384).

7282188 is an abundant number, since it is smaller than the sum of its proper divisors (12596580).

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

7282188 is a wasteful number, since it uses less digits than its factorization.

7282188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 258 counting only the distinct ones).

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

The square root of 7282188 is about 2698.5529455618. The cubic root of 7282188 is about 193.8298362624.

It can be divided in two parts, 728 and 2188, that added together give a square (2916 = 54²).

The spelling of 7282188 in words is "seven million, two hundred eighty-two thousand, one hundred eighty-eight".