726137 has 2 divisors, whose sum is σ = 726138. Its totient is φ = 726136.

The previous prime is 726109. The next prime is 726139. The reversal of 726137 is 731627.

726137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 724201 + 1936 = 851^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 726137 - 2¹⁰ = 725113 is a prime.

Together with 726139, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 726137.

It is not a weakly prime, because it can be changed into another prime (726139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363068 + 363069.

It is an arithmetic number, because the mean of its divisors is an integer number (363069).

2⁷²⁶¹³⁷ is an apocalyptic number.

It is an amenable number.

726137 is a deficient number, since it is larger than the sum of its proper divisors (1).

726137 is an equidigital number, since it uses as much as digits as its factorization.

726137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1764, while the sum is 26.

The square root of 726137 is about 852.1367261185. The cubic root of 726137 is about 89.8820264959.

The spelling of 726137 in words is "seven hundred twenty-six thousand, one hundred thirty-seven".