726461127 has 24 divisors (see below), whose sum is σ = 1202831136. Its totient is φ = 413876736.

The previous prime is 726461027. The next prime is 726461191. The reversal of 726461127 is 721164627.

726461127 is a `hidden beast` number, since 7 + 2 + 646 + 1 + 1 + 2 + 7 = 666.

It is not a de Polignac number, because 726461127 - 2⁸ = 726460871 is a prime.

It is a super-2 number, since 2×726461127² = 1055491538084220258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 726461091 and 726461100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726461027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4123 + ... + 38339.

It is an arithmetic number, because the mean of its divisors is an integer number (50117964).

Almost surely, 2^726461127 is an apocalyptic number.

726461127 is a deficient number, since it is larger than the sum of its proper divisors (476370009).

726461127 is a wasteful number, since it uses less digits than its factorization.

726461127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34567 (or 34564 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 726461127 is about 26952.9428263409. The cubic root of 726461127 is about 898.9539810388.

The spelling of 726461127 in words is "seven hundred twenty-six million, four hundred sixty-one thousand, one hundred twenty-seven".