725873967 has 160 divisors (see below), whose sum is σ = 1444101120. Its totient is φ = 352719360.

The previous prime is 725873933. The next prime is 725874001. The reversal of 725873967 is 769378527.

It is an interprime number because it is at equal distance from previous prime (725873933) and next prime (725874001).

It is not a de Polignac number, because 725873967 - 2¹⁰ = 725872943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725873867) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9943443 + ... + 9943515.

It is an arithmetic number, because the mean of its divisors is an integer number (9025632).

Almost surely, 2^725873967 is an apocalyptic number.

725873967 is a deficient number, since it is larger than the sum of its proper divisors (718227153).

725873967 is a wasteful number, since it uses less digits than its factorization.

725873967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 725873967 is about 26942.0483074320. The cubic root of 725873967 is about 898.7117234839.

It can be divided in two parts, 7258 and 73967, that added together give a square (81225 = 285²).

The spelling of 725873967 in words is "seven hundred twenty-five million, eight hundred seventy-three thousand, nine hundred sixty-seven".