725791536 has 80 divisors (see below), whose sum is σ = 2112721920. Its totient is φ = 238512960.

The previous prime is 725791513. The next prime is 725791543. The reversal of 725791536 is 635197527.

725791536 is a `hidden beast` number, since 7 + 25 + 7 + 91 + 536 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 725791491 and 725791500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18841 + ... + 42503.

It is an arithmetic number, because the mean of its divisors is an integer number (26409024).

Almost surely, 2^725791536 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 725791536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056360960).

725791536 is an abundant number, since it is smaller than the sum of its proper divisors (1386930384).

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

725791536 is a wasteful number, since it uses less digits than its factorization.

725791536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23751 (or 23739 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 725791536 is about 26940.5184805341. The cubic root of 725791536 is about 898.6777026511.

The spelling of 725791536 in words is "seven hundred twenty-five million, seven hundred ninety-one thousand, five hundred thirty-six".