725431973 has 16 divisors (see below), whose sum is σ = 898254720. Its totient is φ = 571608576.

The previous prime is 725431933. The next prime is 725431997. The reversal of 725431973 is 379134527.

It is not a de Polignac number, because 725431973 - 2⁶ = 725431909 is a prime.

It is a super-3 number, since 3×725431973³ (a number of 28 digits) contains 333 as substring.

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 725431973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725431933) 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 15 ways as a sum of consecutive naturals, for example, 65768 + ... + 76001.

It is an arithmetic number, because the mean of its divisors is an integer number (56140920).

Almost surely, 2^725431973 is an apocalyptic number.

It is an amenable number.

725431973 is a deficient number, since it is larger than the sum of its proper divisors (172822747).

725431973 is a wasteful number, since it uses less digits than its factorization.

725431973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141836.

The product of its digits is 158760, while the sum is 41.

The square root of 725431973 is about 26933.8443784024. The cubic root of 725431973 is about 898.5292740689.

The spelling of 725431973 in words is "seven hundred twenty-five million, four hundred thirty-one thousand, nine hundred seventy-three".