725353129072 has 80 divisors (see below), whose sum is σ = 1655798709600. Its totient is φ = 303471590400.

The previous prime is 725353129043. The next prime is 725353129117. The reversal of 725353129072 is 270921353527.

It is a super-2 number, since 2×725353129072² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 344322 + ... + 1252702.

It is an arithmetic number, because the mean of its divisors is an integer number (20697483870).

Almost surely, 2^725353129072 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 725353129072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827899354800).

725353129072 is an abundant number, since it is smaller than the sum of its proper divisors (930445580528).

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

725353129072 is a wasteful number, since it uses less digits than its factorization.

725353129072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908762 (or 908756 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 46.

The spelling of 725353129072 in words is "seven hundred twenty-five billion, three hundred fifty-three million, one hundred twenty-nine thousand, seventy-two".