8279062272 has 288 divisors, whose sum is σ = 26555648000. Its totient is φ = 2529128448.

The previous prime is 8279062247. The next prime is 8279062279. The reversal of 8279062272 is 2722609728.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8279062279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17881113 + ... + 17881575.

Almost surely, 2^8279062272 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 8279062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277824000).

8279062272 is an abundant number, since it is smaller than the sum of its proper divisors (18276585728).

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

8279062272 is a wasteful number, since it uses less digits than its factorization.

8279062272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8279062272 is about 90989.3525199515. The cubic root of 8279062272 is about 2022.9899087974.

The spelling of 8279062272 in words is "eight billion, two hundred seventy-nine million, sixty-two thousand, two hundred seventy-two".