272608896 has 128 divisors (see below), whose sum is σ = 850239360. Its totient is φ = 75755520.

The previous prime is 272608879. The next prime is 272608909. The reversal of 272608896 is 698806272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×272608896² = 148631220356677632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98086 + ... + 100826.

It is an arithmetic number, because the mean of its divisors is an integer number (6642495).

Almost surely, 2^272608896 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 272608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425119680).

272608896 is an abundant number, since it is smaller than the sum of its proper divisors (577630464).

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

272608896 is a wasteful number, since it uses less digits than its factorization.

272608896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 272608896 is about 16510.8720544979. The cubic root of 272608896 is about 648.4054770591.

The spelling of 272608896 in words is "two hundred seventy-two million, six hundred eight thousand, eight hundred ninety-six".