8721288 has 48 divisors (see below), whose sum is σ = 23903100. Its totient is φ = 2872320.

The previous prime is 8721281. The next prime is 8721299. The reversal of 8721288 is 8821278.

8721288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7717284 + 1004004 = 2778^2 + 1002^2 .

It is a super-3 number, since 3×8721288³ (a number of 22 digits) contains 333 as substring.

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 (8721281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5728 + ... + 7088.

Almost surely, 2^8721288 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 8721288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11951550).

8721288 is an abundant number, since it is smaller than the sum of its proper divisors (15181812).

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

8721288 is a wasteful number, since it uses less digits than its factorization.

8721288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1455 counting only the distinct ones).

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

The square root of 8721288 is about 2953.1826899127. The cubic root of 8721288 is about 205.8386268788.

It can be divided in two parts, 8721 and 288, that added together give a palindrome (9009).

The spelling of 8721288 in words is "eight million, seven hundred twenty-one thousand, two hundred eighty-eight".