272132640 has 144 divisors (see below), whose sum is σ = 1000156248. Its totient is φ = 66981888.

The previous prime is 272132639. The next prime is 272132647. The reversal of 272132640 is 46231272.

272132640 is a `hidden beast` number, since 2 + 7 + 2 + 13 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132987024 + 139145616 = 11532^2 + 11796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (272132647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11452 + ... + 25988.

Almost surely, 2^272132640 is an apocalyptic number.

272132640 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 272132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500078124).

272132640 is an abundant number, since it is smaller than the sum of its proper divisors (728023608).

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

272132640 is a wasteful number, since it uses less digits than its factorization.

272132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14571 (or 14560 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 272132640 is about 16496.4432530167. The cubic root of 272132640 is about 648.0276622851.

The spelling of 272132640 in words is "two hundred seventy-two million, one hundred thirty-two thousand, six hundred forty".