272527525312 has 112 divisors (see below), whose sum is σ = 624617943040. Its totient is φ = 115559073792.

The previous prime is 272527525307. The next prime is 272527525327. The reversal of 272527525312 is 213525725272.

It is a happy number.

272527525312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72305764 + ... + 72309532.

It is an arithmetic number, because the mean of its divisors is an integer number (5576945920).

Almost surely, 2^272527525312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272527525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312308971520).

272527525312 is an abundant number, since it is smaller than the sum of its proper divisors (352090417728).

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

272527525312 is a wasteful number, since it uses less digits than its factorization.

272527525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5448 counting only the distinct ones).

The product of its digits is 588000, while the sum is 43.

The spelling of 272527525312 in words is "two hundred seventy-two billion, five hundred twenty-seven million, five hundred twenty-five thousand, three hundred twelve".