725820032 has 96 divisors (see below), whose sum is σ = 1756089120. Its totient is φ = 292663296.

The previous prime is 725820023. The next prime is 725820047. The reversal of 725820032 is 230028527.

It is a junction number, because it is equal to n+sod(n) for n = 725819977 and 725820004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257543 + ... + 260345.

It is an arithmetic number, because the mean of its divisors is an integer number (18292595).

Almost surely, 2^725820032 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 725820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878044560).

725820032 is an abundant number, since it is smaller than the sum of its proper divisors (1030269088).

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

725820032 is a wasteful number, since it uses less digits than its factorization.

725820032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 725820032 is about 26941.0473441550. The cubic root of 725820032 is about 898.6894637806.

Adding to 725820032 its reverse (230028527), we get a palindrome (955848559).

The spelling of 725820032 in words is "seven hundred twenty-five million, eight hundred twenty thousand, thirty-two".