272879607 has 64 divisors (see below), whose sum is σ = 494484480. Its totient is φ = 129254400.

The previous prime is 272879587. The next prime is 272879609. The reversal of 272879607 is 706978272.

It is not a de Polignac number, because 272879607 - 2⁷ = 272879479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272879609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266757 + ... + 267777.

It is an arithmetic number, because the mean of its divisors is an integer number (7726320).

Almost surely, 2^272879607 is an apocalyptic number.

272879607 is a deficient number, since it is larger than the sum of its proper divisors (221604873).

272879607 is a wasteful number, since it uses less digits than its factorization.

272879607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144.

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 272879607 is about 16519.0679821835. The cubic root of 272879607 is about 648.6200364846.

The spelling of 272879607 in words is "two hundred seventy-two million, eight hundred seventy-nine thousand, six hundred seven".