7872288 has 24 divisors (see below), whose sum is σ = 20665008. Its totient is φ = 2624064.

The previous prime is 7872283. The next prime is 7872313. The reversal of 7872288 is 8822787.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

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 3 ways as a sum of consecutive naturals, for example, 40906 + ... + 41097.

It is an arithmetic number, because the mean of its divisors is an integer number (861042).

Almost surely, 2^7872288 is an apocalyptic number.

It is an amenable number.

7872288 is an abundant number, since it is smaller than the sum of its proper divisors (12792720).

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

7872288 is a wasteful number, since it uses less digits than its factorization.

7872288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82016 (or 82008 counting only the distinct ones).

The product of its digits is 100352, while the sum is 42.

The square root of 7872288 is about 2805.7597901460. The cubic root of 7872288 is about 198.9300192474.

It can be divided in two parts, 7 and 872288, that multiplied together give a palindrome (6106016).

The spelling of 7872288 in words is "seven million, eight hundred seventy-two thousand, two hundred eighty-eight".