725074100 has 72 divisors (see below), whose sum is σ = 1602319320. Its totient is φ = 284753920.

The previous prime is 725074061. The next prime is 725074151. The reversal of 725074100 is 1470527.

725074100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 261016336 + 464057764 = 16156^2 + 21542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 725074100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2287142 + ... + 2287458.

It is an arithmetic number, because the mean of its divisors is an integer number (22254435).

Almost surely, 2^725074100 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 725074100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801159660).

725074100 is an abundant number, since it is smaller than the sum of its proper divisors (877245220).

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

725074100 is a wasteful number, since it uses less digits than its factorization.

725074100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 725074100 is about 26927.2000029710. The cubic root of 725074100 is about 898.3814944144.

The spelling of 725074100 in words is "seven hundred twenty-five million, seventy-four thousand, one hundred".