726167313 has 12 divisors (see below), whose sum is σ = 1049421828. Its totient is φ = 483874560.

The previous prime is 726167311. The next prime is 726167341. The reversal of 726167313 is 313761627.

726167313 is a `hidden beast` number, since 7 + 2 + 616 + 7 + 31 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 467986689 + 258180624 = 21633^2 + 16068^2 .

It is not a de Polignac number, because 726167313 - 2¹ = 726167311 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (726167311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 781 + ... + 38117.

It is an arithmetic number, because the mean of its divisors is an integer number (87451819).

Almost surely, 2^726167313 is an apocalyptic number.

It is an amenable number.

726167313 is a deficient number, since it is larger than the sum of its proper divisors (323254515).

726167313 is a wasteful number, since it uses less digits than its factorization.

726167313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39504 (or 39501 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 726167313 is about 26947.4917756737. The cubic root of 726167313 is about 898.8327720384.

The spelling of 726167313 in words is "seven hundred twenty-six million, one hundred sixty-seven thousand, three hundred thirteen".