727416682121 has 4 divisors (see below), whose sum is σ = 727433723412. Its totient is φ = 727399640832.

The previous prime is 727416682087. The next prime is 727416682159. The reversal of 727416682121 is 121286614727.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 365951193721 + 361465488400 = 604939^2 + 601220^2 .

It is a cyclic number.

It is not a de Polignac number, because 727416682121 - 2²² = 727412487817 is a prime.

It is a super-3 number, since 3×727416682121³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727416682721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8456456 + ... + 8542041.

It is an arithmetic number, because the mean of its divisors is an integer number (181858430853).

Almost surely, 2^727416682121 is an apocalyptic number.

It is an amenable number.

727416682121 is a deficient number, since it is larger than the sum of its proper divisors (17041291).

727416682121 is a wasteful number, since it uses less digits than its factorization.

727416682121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17041290.

The product of its digits is 451584, while the sum is 47.

The spelling of 727416682121 in words is "seven hundred twenty-seven billion, four hundred sixteen million, six hundred eighty-two thousand, one hundred twenty-one".