272234432272 has 80 divisors (see below), whose sum is σ = 600587952768. Its totient is φ = 118330122240.

The previous prime is 272234432269. The next prime is 272234432279.

272234432272 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×272234432272³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (272234432279) 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, 19961968 + ... + 19975600.

Almost surely, 2^272234432272 is an apocalyptic number.

272234432272 is a gapful number since it is divisible by the number (22) 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 272234432272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300293976384).

272234432272 is an abundant number, since it is smaller than the sum of its proper divisors (328353520496).

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

272234432272 is a wasteful number, since it uses less digits than its factorization.

272234432272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18608 (or 18602 counting only the distinct ones).

The product of its digits is 451584, while the sum is 40.

The spelling of 272234432272 in words is "two hundred seventy-two billion, two hundred thirty-four million, four hundred thirty-two thousand, two hundred seventy-two".