725797116 has 144 divisors (see below), whose sum is σ = 2137943808. Its totient is φ = 205171200.

The previous prime is 725797103. The next prime is 725797139. The reversal of 725797116 is 611797527.

725797116 is a `hidden beast` number, since 7 + 2 + 579 + 71 + 1 + 6 = 666.

725797116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881481 + ... + 882303.

It is an arithmetic number, because the mean of its divisors is an integer number (14846832).

Almost surely, 2^725797116 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 725797116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068971904).

725797116 is an abundant number, since it is smaller than the sum of its proper divisors (1412146692).

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

725797116 is a wasteful number, since it uses less digits than its factorization.

725797116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 987 counting only the distinct ones).

The product of its digits is 185220, while the sum is 45.

The square root of 725797116 is about 26940.6220418163. The cubic root of 725797116 is about 898.6800057039.

The spelling of 725797116 in words is "seven hundred twenty-five million, seven hundred ninety-seven thousand, one hundred sixteen".