272706112 has 112 divisors (see below), whose sum is σ = 666707328. Its totient is φ = 108011520.

The previous prime is 272706089. The next prime is 272706121. The reversal of 272706112 is 211607272.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464283 + ... + 464869.

It is an arithmetic number, because the mean of its divisors is an integer number (5952744).

Almost surely, 2^272706112 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 272706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333353664).

272706112 is an abundant number, since it is smaller than the sum of its proper divisors (394001216).

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

272706112 is a wasteful number, since it uses less digits than its factorization.

272706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 272706112 is about 16513.8157916334. The cubic root of 272706112 is about 648.4825446043.

The spelling of 272706112 in words is "two hundred seventy-two million, seven hundred six thousand, one hundred twelve".