272272680 has 144 divisors (see below), whose sum is σ = 940359420. Its totient is φ = 68308992.

The previous prime is 272272639. The next prime is 272272687. The reversal of 272272680 is 86272272.

It can be written as a sum of positive squares in 6 ways, for example, as 256064004 + 16208676 = 16002^2 + 4026^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (272272687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102732 + ... + 105348.

Almost surely, 2^272272680 is an apocalyptic number.

272272680 is a gapful number since it is divisible by the number (20) 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 272272680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470179710).

272272680 is an abundant number, since it is smaller than the sum of its proper divisors (668086740).

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

272272680 is a wasteful number, since it uses less digits than its factorization.

272272680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 272272680 is about 16500.6872584144. The cubic root of 272272680 is about 648.1388019994.

The spelling of 272272680 in words is "two hundred seventy-two million, two hundred seventy-two thousand, six hundred eighty".