725764117 has 16 divisors (see below), whose sum is σ = 793059120. Its totient is φ = 660160512.

The previous prime is 725764087. The next prime is 725764159. The reversal of 725764117 is 711467527.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 112656996 + 613107121 = 10614^2 + 24761^2 .

It is a cyclic number.

It is not a de Polignac number, because 725764117 - 2¹¹ = 725762069 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 725764117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725762117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407533 + ... + 409309.

It is an arithmetic number, because the mean of its divisors is an integer number (49566195).

Almost surely, 2^725764117 is an apocalyptic number.

It is an amenable number.

725764117 is a deficient number, since it is larger than the sum of its proper divisors (67295003).

725764117 is a wasteful number, since it uses less digits than its factorization.

725764117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232.

The product of its digits is 82320, while the sum is 40.

The square root of 725764117 is about 26940.0095953955. The cubic root of 725764117 is about 898.6663857403. Note that the first 3 decimals are identical.

The spelling of 725764117 in words is "seven hundred twenty-five million, seven hundred sixty-four thousand, one hundred seventeen".