272008386 has 96 divisors (see below), whose sum is σ = 661031280. Its totient is φ = 80289792.

The previous prime is 272008379. The next prime is 272008417. The reversal of 272008386 is 683800272.

It is a happy number.

272008386 is a `hidden beast` number, since 272 + 0 + 0 + 8 + 386 = 666.

272008386 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 8 ways, for example, as 87890625 + 184117761 = 9375^2 + 13569^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 272008386.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770386 + ... + 770738.

Almost surely, 2^272008386 is an apocalyptic number.

272008386 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 272008386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330515640).

272008386 is an abundant number, since it is smaller than the sum of its proper divisors (389022894).

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

272008386 is a wasteful number, since it uses less digits than its factorization.

272008386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 272008386 is about 16492.6767384800. The cubic root of 272008386 is about 647.9290188598.

The spelling of 272008386 in words is "two hundred seventy-two million, eight thousand, three hundred eighty-six".