272834720 has 96 divisors (see below), whose sum is σ = 676118016. Its totient is φ = 103910400.

The previous prime is 272834719. The next prime is 272834729. The reversal of 272834720 is 27438272.

272834720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (272834729) by changing a digit.

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, 331910 + ... + 332730.

It is an arithmetic number, because the mean of its divisors is an integer number (7042896).

Almost surely, 2^272834720 is an apocalyptic number.

272834720 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 272834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338059008).

272834720 is an abundant number, since it is smaller than the sum of its proper divisors (403283296).

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

272834720 is a wasteful number, since it uses less digits than its factorization.

272834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 272834720 is about 16517.7092842803. The cubic root of 272834720 is about 648.5844698789.

The spelling of 272834720 in words is "two hundred seventy-two million, eight hundred thirty-four thousand, seven hundred twenty".