272731438672 has 180 divisors, whose sum is σ = 698955615540. Its totient is φ = 102593863680.

The previous prime is 272731438657. The next prime is 272731438703. The reversal of 272731438672 is 276834137272.

272731438672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64098086976 + 208633351696 = 253176^2 + 456764^2 .

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 35 ways as a sum of consecutive naturals, for example, 2701488 + ... + 2800624.

It is an arithmetic number, because the mean of its divisors is an integer number (3883086753).

Almost surely, 2^272731438672 is an apocalyptic number.

272731438672 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 272731438672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349477807770).

272731438672 is an abundant number, since it is smaller than the sum of its proper divisors (426224176868).

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

272731438672 is a wasteful number, since it uses less digits than its factorization.

272731438672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99210 (or 99186 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 52.

The spelling of 272731438672 in words is "two hundred seventy-two billion, seven hundred thirty-one million, four hundred thirty-eight thousand, six hundred seventy-two".