725116100 has 36 divisors (see below), whose sum is σ = 1577438100. Its totient is φ = 289320960.

The previous prime is 725116061. The next prime is 725116109. The reversal of 725116100 is 1611527.

It can be written as a sum of positive squares in 6 ways, for example, as 25725184 + 699390916 = 5072^2 + 26446^2 .

It is not an unprimeable number, because it can be changed into a prime (725116109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32036 + ... + 49764.

It is an arithmetic number, because the mean of its divisors is an integer number (43817725).

Almost surely, 2^725116100 is an apocalyptic number.

It is an amenable number.

725116100 is an abundant number, since it is smaller than the sum of its proper divisors (852322000).

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

725116100 is a wasteful number, since it uses less digits than its factorization.

725116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18152 (or 18145 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 725116100 is about 26927.9798722444. The cubic root of 725116100 is about 898.3988403630.

Adding to 725116100 its reverse (1611527), we get a palindrome (726727627).

The spelling of 725116100 in words is "seven hundred twenty-five million, one hundred sixteen thousand, one hundred".