272803968 has 96 divisors (see below), whose sum is σ = 810451200. Its totient is φ = 87989760.

The previous prime is 272803891. The next prime is 272803969. The reversal of 272803968 is 869308272.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (272803969) 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 11 ways as a sum of consecutive naturals, for example, 31893 + ... + 39531.

It is an arithmetic number, because the mean of its divisors is an integer number (8442200).

Almost surely, 2^272803968 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 272803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405225600).

272803968 is an abundant number, since it is smaller than the sum of its proper divisors (537647232).

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

272803968 is a wasteful number, since it uses less digits than its factorization.

272803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 272803968 is about 16516.7783783642. The cubic root of 272803968 is about 648.5601010119.

The spelling of 272803968 in words is "two hundred seventy-two million, eight hundred three thousand, nine hundred sixty-eight".