726726181 has 2 divisors, whose sum is σ = 726726182. Its totient is φ = 726726180.

The previous prime is 726726179. The next prime is 726726191. The reversal of 726726181 is 181627627.

726726181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 11006-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 622502500 + 104223681 = 24950^2 + 10209^2 .

It is a cyclic number.

It is not a de Polignac number, because 726726181 - 2¹ = 726726179 is a prime.

It is a super-2 number, since 2×726726181² = 1056261884301689522, which contains 22 as substring.

Together with 726726179, it forms a pair of twin primes.

It is equal to p_37563880 and since 726726181 and 37563880 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (726726151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363363090 + 363363091.

It is an arithmetic number, because the mean of its divisors is an integer number (363363091).

Almost surely, 2^726726181 is an apocalyptic number.

It is an amenable number.

726726181 is a deficient number, since it is larger than the sum of its proper divisors (1).

726726181 is an equidigital number, since it uses as much as digits as its factorization.

726726181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56448, while the sum is 40.

The square root of 726726181 is about 26957.8593549265. The cubic root of 726726181 is about 899.0632974528.

The spelling of 726726181 in words is "seven hundred twenty-six million, seven hundred twenty-six thousand, one hundred eighty-one".