725832258004 has 48 divisors (see below), whose sum is σ = 1483967116800. Its totient is φ = 304161626880.

The previous prime is 725832257963. The next prime is 725832258007. The reversal of 725832258004 is 400852238527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725832258007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117594 + ... + 1643374.

It is an arithmetic number, because the mean of its divisors is an integer number (30915981600).

Almost surely, 2^725832258004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725832258004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741983558400).

725832258004 is an abundant number, since it is smaller than the sum of its proper divisors (758134858796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725832258004 is a wasteful number, since it uses less digits than its factorization.

725832258004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526888 (or 526886 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 725832258004 in words is "seven hundred twenty-five billion, eight hundred thirty-two million, two hundred fifty-eight thousand, four".