7872282 has 64 divisors (see below), whose sum is σ = 19785600. Its totient is φ = 2298240.

The previous prime is 7872269. The next prime is 7872283. The reversal of 7872282 is 2822787.

7872282 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 7² + 8 + 7⁸ + 2⁵ + 2¹¹ + 8⁷ + 2¹³ .

It is not an unprimeable number, because it can be changed into a prime (7872283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16998 + ... + 17454.

It is an arithmetic number, because the mean of its divisors is an integer number (309150).

Almost surely, 2^7872282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7872282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892800).

7872282 is an abundant number, since it is smaller than the sum of its proper divisors (11913318).

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

7872282 is a wasteful number, since it uses less digits than its factorization.

7872282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

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

The square root of 7872282 is about 2805.7587209167. The cubic root of 7872282 is about 198.9299687081.

The spelling of 7872282 in words is "seven million, eight hundred seventy-two thousand, two hundred eighty-two".