725764761 has 24 divisors (see below), whose sum is σ = 1065528360. Its totient is φ = 475969536.

The previous prime is 725764757. The next prime is 725764771. The reversal of 725764761 is 167467527.

725764761 is a `hidden beast` number, since 7 + 2 + 576 + 4 + 76 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128255625 + 597509136 = 11325^2 + 24444^2 .

It is not a de Polignac number, because 725764761 - 2² = 725764757 is a prime.

It is not an unprimeable number, because it can be changed into a prime (725764751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136725 + ... + 141933.

It is an arithmetic number, because the mean of its divisors is an integer number (44397015).

Almost surely, 2^725764761 is an apocalyptic number.

It is an amenable number.

725764761 is a deficient number, since it is larger than the sum of its proper divisors (339763599).

725764761 is a wasteful number, since it uses less digits than its factorization.

725764761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5462 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 725764761 is about 26940.0215478756. The cubic root of 725764761 is about 898.6666515480. Note that the first 4 decimals are identical.

The spelling of 725764761 in words is "seven hundred twenty-five million, seven hundred sixty-four thousand, seven hundred sixty-one".