7228872 has 96 divisors (see below), whose sum is σ = 23392800. Its totient is φ = 2062368.

The previous prime is 7228867. The next prime is 7228883. The reversal of 7228872 is 2788227.

7228872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10243 + ... + 10925.

It is an arithmetic number, because the mean of its divisors is an integer number (243675).

Almost surely, 2^7228872 is an apocalyptic number.

7228872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7228872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696400).

7228872 is an abundant number, since it is smaller than the sum of its proper divisors (16163928).

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

7228872 is a wasteful number, since it uses less digits than its factorization.

7228872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 695 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 7228872 is about 2688.6561699109. The cubic root of 7228872 is about 193.3556401795.

It can be divided in two parts, 7228 and 872, that added together give a square (8100 = 90²).

The spelling of 7228872 in words is "seven million, two hundred twenty-eight thousand, eight hundred seventy-two".