272261372460 has 144 divisors (see below), whose sum is σ = 967411952640. Its totient is φ = 56573784960.

The previous prime is 272261372443. The next prime is 272261372479. The reversal of 272261372460 is 64273162272.

272261372460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4177020 + ... + 4241699.

It is an arithmetic number, because the mean of its divisors is an integer number (6718138560).

Almost surely, 2^272261372460 is an apocalyptic number.

272261372460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272261372460 is an abundant number, since it is smaller than the sum of its proper divisors (695150580180).

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

272261372460 is a wasteful number, since it uses less digits than its factorization.

272261372460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418756 (or 8418747 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 272261372460 in words is "two hundred seventy-two billion, two hundred sixty-one million, three hundred seventy-two thousand, four hundred sixty".