725737 has 2 divisors, whose sum is σ = 725738. Its totient is φ = 725736.

The previous prime is 725731. The next prime is 725749. The reversal of 725737 is 737527.

725737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 541696 + 184041 = 736^2 + 429^2 .

It is a cyclic number.

It is not a de Polignac number, because 725737 - 2¹⁵ = 692969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 725699 and 725708.

It is not a weakly prime, because it can be changed into another prime (725731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362868 + 362869.

It is an arithmetic number, because the mean of its divisors is an integer number (362869).

2⁷²⁵⁷³⁷ is an apocalyptic number.

It is an amenable number.

725737 is a deficient number, since it is larger than the sum of its proper divisors (1).

725737 is an equidigital number, since it uses as much as digits as its factorization.

725737 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10290, while the sum is 31.

The square root of 725737 is about 851.9019896678. The cubic root of 725737 is about 89.8655193197.

The spelling of 725737 in words is "seven hundred twenty-five thousand, seven hundred thirty-seven".