725576337 has 12 divisors (see below), whose sum is σ = 1109705220. Its totient is φ = 455263488.

The previous prime is 725576333. The next prime is 725576347. The reversal of 725576337 is 733675527.

725576337 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 7 + 633 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 629457921 + 96118416 = 25089^2 + 9804^2 .

It is not a de Polignac number, because 725576337 - 2² = 725576333 is a prime.

It is a super-2 number, since 2×725576337² = 1052922041628675138, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 725576292 and 725576301.

It is not an unprimeable number, because it can be changed into a prime (725576333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371012 + ... + 2371317.

It is an arithmetic number, because the mean of its divisors is an integer number (92475435).

Almost surely, 2^725576337 is an apocalyptic number.

It is an amenable number.

725576337 is a deficient number, since it is larger than the sum of its proper divisors (384128883).

725576337 is a wasteful number, since it uses less digits than its factorization.

725576337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742352 (or 4742349 counting only the distinct ones).

The product of its digits is 926100, while the sum is 45.

The square root of 725576337 is about 26936.5242189856. The cubic root of 725576337 is about 898.5888738114.

The spelling of 725576337 in words is "seven hundred twenty-five million, five hundred seventy-six thousand, three hundred thirty-seven".