725584431 has 48 divisors (see below), whose sum is σ = 1149368832. Its totient is φ = 403603200.

The previous prime is 725584403. The next prime is 725584487. The reversal of 725584431 is 134485527.

It is not a de Polignac number, because 725584431 - 2⁵ = 725584399 is a prime.

It is a super-2 number, since 2×725584431² = 1052945533019187522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 725584431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725584631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566906 + ... + 1567368.

It is an arithmetic number, because the mean of its divisors is an integer number (23945184).

Almost surely, 2^725584431 is an apocalyptic number.

725584431 is a deficient number, since it is larger than the sum of its proper divisors (423784401).

725584431 is a wasteful number, since it uses less digits than its factorization.

725584431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 771 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 725584431 is about 26936.6744606679. The cubic root of 725584431 is about 898.5922151328.

The spelling of 725584431 in words is "seven hundred twenty-five million, five hundred eighty-four thousand, four hundred thirty-one".