272088768 has 84 divisors (see below), whose sum is σ = 837465432. Its totient is φ = 77736960.

The previous prime is 272088749. The next prime is 272088811. The reversal of 272088768 is 867880272.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5053 + ... + 23868.

Almost surely, 2^272088768 is an apocalyptic number.

272088768 is a gapful number since it is divisible by the number (28) 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 272088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418732716).

272088768 is an abundant number, since it is smaller than the sum of its proper divisors (565376664).

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

272088768 is a wasteful number, since it uses less digits than its factorization.

272088768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28950 (or 28933 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 272088768 is about 16495.1134582336. The cubic root of 272088768 is about 647.9928363787.

The spelling of 272088768 in words is "two hundred seventy-two million, eighty-eight thousand, seven hundred sixty-eight".