27731842272 has 72 divisors (see below), whose sum is σ = 79599546936. Its totient is φ = 9157545216.

The previous prime is 27731842253. The next prime is 27731842273. The reversal of 27731842272 is 27224813772.

27731842272 is a `hidden beast` number, since 27 + 7 + 318 + 42 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×27731842272² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27731842273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419143 + ... + 480774.

It is an arithmetic number, because the mean of its divisors is an integer number (1105549263).

Almost surely, 2^27731842272 is an apocalyptic number.

It is an amenable number.

27731842272 is an abundant number, since it is smaller than the sum of its proper divisors (51867704664).

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

27731842272 is a wasteful number, since it uses less digits than its factorization.

27731842272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900040 (or 900029 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The spelling of 27731842272 in words is "twenty-seven billion, seven hundred thirty-one million, eight hundred forty-two thousand, two hundred seventy-two".