329230272 has 112 divisors (see below), whose sum is σ = 1029980160. Its totient is φ = 90811392.

The previous prime is 329230267. The next prime is 329230273. The reversal of 329230272 is 272032923.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329230273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34753 + ... + 43199.

Almost surely, 2^329230272 is an apocalyptic number.

329230272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514990080).

329230272 is an abundant number, since it is smaller than the sum of its proper divisors (700749888).

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

329230272 is a wasteful number, since it uses less digits than its factorization.

329230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8498 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 329230272 is about 18144.7036900579. The cubic root of 329230272 is about 690.5046172161.

The spelling of 329230272 in words is "three hundred twenty-nine million, two hundred thirty thousand, two hundred seventy-two".