8329272 has 64 divisors (see below), whose sum is σ = 24372480. Its totient is φ = 2322432.

The previous prime is 8329267. The next prime is 8329309. The reversal of 8329272 is 2729238.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6648 + ... + 7800.

It is an arithmetic number, because the mean of its divisors is an integer number (380820).

Almost surely, 2^8329272 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 8329272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186240).

8329272 is an abundant number, since it is smaller than the sum of its proper divisors (16043208).

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

8329272 is a wasteful number, since it uses less digits than its factorization.

8329272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1208 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 8329272 is about 2886.0478166517. The cubic root of 8329272 is about 202.7071253675.

The spelling of 8329272 in words is "eight million, three hundred twenty-nine thousand, two hundred seventy-two".