272018304 has 128 divisors (see below), whose sum is σ = 829056000. Its totient is φ = 87713280.

The previous prime is 272018303. The next prime is 272018311. The reversal of 272018304 is 403810272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×272018304² = 147987915422072832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272018303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105867 + ... + 108405.

It is an arithmetic number, because the mean of its divisors is an integer number (6477000).

Almost surely, 2^272018304 is an apocalyptic number.

272018304 is a gapful number since it is divisible by the number (24) 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 272018304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414528000).

272018304 is an abundant number, since it is smaller than the sum of its proper divisors (557037696).

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

272018304 is a wasteful number, since it uses less digits than its factorization.

272018304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 272018304 is about 16492.9774146453. The cubic root of 272018304 is about 647.9368937173.

Adding to 272018304 its reverse (403810272), we get a palindrome (675828576).

The spelling of 272018304 in words is "two hundred seventy-two million, eighteen thousand, three hundred four".