272735568 has 90 divisors (see below), whose sum is σ = 887921034. Its totient is φ = 77922432.

The previous prime is 272735563. The next prime is 272735569. The reversal of 272735568 is 865537272.

272735568 is a `hidden beast` number, since 27 + 2 + 73 + 556 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 176145984 + 96589584 = 13272^2 + 9828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272735563) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12271 + ... + 26382.

Almost surely, 2^272735568 is an apocalyptic number.

272735568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

272735568 is an abundant number, since it is smaller than the sum of its proper divisors (615185466).

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

272735568 is a wasteful number, since it uses less digits than its factorization.

272735568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38681 (or 38665 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 272735568 is about 16514.7076268398. The cubic root of 272735568 is about 648.5058920998.

The spelling of 272735568 in words is "two hundred seventy-two million, seven hundred thirty-five thousand, five hundred sixty-eight".