272127414200 has 96 divisors (see below), whose sum is σ = 635954088000. Its totient is φ = 108291686400.

The previous prime is 272127414197. The next prime is 272127414217. The reversal of 272127414200 is 2414721272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41676536 + ... + 41683064.

It is an arithmetic number, because the mean of its divisors is an integer number (6624521750).

Almost surely, 2^272127414200 is an apocalyptic number.

272127414200 is a gapful number since it is divisible by the number (20) 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 272127414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317977044000).

272127414200 is an abundant number, since it is smaller than the sum of its proper divisors (363826673800).

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

272127414200 is a wasteful number, since it uses less digits than its factorization.

272127414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The spelling of 272127414200 in words is "two hundred seventy-two billion, one hundred twenty-seven million, four hundred fourteen thousand, two hundred".