327742272 has 336 divisors, whose sum is σ = 1158288768. Its totient is φ = 87183360.

The previous prime is 327742243. The next prime is 327742277. The reversal of 327742272 is 272247723.

It is a happy number.

327742272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327742277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894378 + ... + 1894550.

It is an arithmetic number, because the mean of its divisors is an integer number (3447288).

Almost surely, 2^327742272 is an apocalyptic number.

327742272 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 327742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579144384).

327742272 is an abundant number, since it is smaller than the sum of its proper divisors (830546496).

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

327742272 is a wasteful number, since it uses less digits than its factorization.

327742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 327742272 is about 18103.6535539101. The cubic root of 327742272 is about 689.4627702306.

Adding to 327742272 its reverse (272247723), we get a palindrome (599989995).

The spelling of 327742272 in words is "three hundred twenty-seven million, seven hundred forty-two thousand, two hundred seventy-two".