725612160 has 256 divisors, whose sum is σ = 2847317760. Its totient is φ = 153059328.

The previous prime is 725612117. The next prime is 725612171. The reversal of 725612160 is 61216527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172644 + ... + 176796.

It is an arithmetic number, because the mean of its divisors is an integer number (11122335).

Almost surely, 2^725612160 is an apocalyptic number.

725612160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423658880).

725612160 is an abundant number, since it is smaller than the sum of its proper divisors (2121705600).

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

725612160 is a wasteful number, since it uses less digits than its factorization.

725612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 725612160 is about 26937.1891629398. The cubic root of 725612160 is about 898.6036618807.

Adding to 725612160 its reverse (61216527), we get a palindrome (786828687).

The spelling of 725612160 in words is "seven hundred twenty-five million, six hundred twelve thousand, one hundred sixty".