272420319721 has 27 divisors (see below), whose sum is σ = 313174069117. Its totient is φ = 236772407960.

The previous prime is 272420319641. The next prime is 272420319757. The reversal of 272420319721 is 127913024272.

The square root of 272420319721 is 521939.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 272420319721 - 2²⁵ = 272386765289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272420319791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 132049536 + ... + 132051598.

Almost surely, 2^272420319721 is an apocalyptic number.

272420319721 is the 521939-th square number.

272420319721 is the 260970-th centered octagonal number.

It is an amenable number.

272420319721 is a deficient number, since it is larger than the sum of its proper divisors (40753749396).

272420319721 is an frugal number, since it uses more digits than its factorization.

272420319721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 272420319721 in words is "two hundred seventy-two billion, four hundred twenty million, three hundred nineteen thousand, seven hundred twenty-one".