272973006 has 12 divisors (see below), whose sum is σ = 591441552. Its totient is φ = 90990996.

The previous prime is 272972977. The next prime is 272973037. The reversal of 272973006 is 600379272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7582566 + ... + 7582601.

It is an arithmetic number, because the mean of its divisors is an integer number (49286796).

Almost surely, 2^272973006 is an apocalyptic number.

272973006 is an abundant number, since it is smaller than the sum of its proper divisors (318468546).

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

272973006 is a wasteful number, since it uses less digits than its factorization.

272973006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15165175 (or 15165172 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 272973006 is about 16521.8947460635. The cubic root of 272973006 is about 648.6940294970.

It can be divided in two parts, 27297 and 3006, that added together give a palindrome (30303).

The spelling of 272973006 in words is "two hundred seventy-two million, nine hundred seventy-three thousand, six".