725835816 has 80 divisors (see below), whose sum is σ = 2041221600. Its totient is φ = 240968736.

The previous prime is 725835811. The next prime is 725835823. The reversal of 725835816 is 618538527.

725835816 is a `hidden beast` number, since 7 + 2 + 583 + 58 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (725835811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168295 + ... + 172553.

It is an arithmetic number, because the mean of its divisors is an integer number (25515270).

Almost surely, 2^725835816 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 725835816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020610800).

725835816 is an abundant number, since it is smaller than the sum of its proper divisors (1315385784).

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

725835816 is a wasteful number, since it uses less digits than its factorization.

725835816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4527 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 725835816 is about 26941.3402784642. The cubic root of 725835816 is about 898.6959781648.

The spelling of 725835816 in words is "seven hundred twenty-five million, eight hundred thirty-five thousand, eight hundred sixteen".