272263680 has 400 divisors, whose sum is σ = 1060572744. Its totient is φ = 66355200.

The previous prime is 272263643. The next prime is 272263699. The reversal of 272263680 is 86362272.

272263680 is a `hidden beast` number, since 272 + 26 + 368 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 237406464 + 34857216 = 15408^2 + 5904^2 .

It is a super-2 number, since 2×272263680² = 148255022894284800, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695630 + ... + 2695730.

Almost surely, 2^272263680 is an apocalyptic number.

272263680 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 272263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530286372).

272263680 is an abundant number, since it is smaller than the sum of its proper divisors (788309064).

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

272263680 is a wasteful number, since it uses less digits than its factorization.

272263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 272263680 is about 16500.4145402472. The cubic root of 272263680 is about 648.1316604902.

The spelling of 272263680 in words is "two hundred seventy-two million, two hundred sixty-three thousand, six hundred eighty".