727668031 has 2 divisors, whose sum is σ = 727668032. Its totient is φ = 727668030.

The previous prime is 727668013. The next prime is 727668037. The reversal of 727668031 is 130866727.

Together with previous prime (727668013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (130866727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 727668031 - 2⁷ = 727667903 is a prime.

It is a super-3 number, since 3×727668031³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (727668037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363834015 + 363834016.

It is an arithmetic number, because the mean of its divisors is an integer number (363834016).

Almost surely, 2^727668031 is an apocalyptic number.

727668031 is a deficient number, since it is larger than the sum of its proper divisors (1).

727668031 is an equidigital number, since it uses as much as digits as its factorization.

727668031 is an evil number, because the sum of its binary digits is even.

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

The square root of 727668031 is about 26975.3226301373. The cubic root of 727668031 is about 899.4515304338.

The spelling of 727668031 in words is "seven hundred twenty-seven million, six hundred sixty-eight thousand, thirty-one".