725755160 has 256 divisors, whose sum is σ = 2041200000. Its totient is φ = 229146624.

The previous prime is 725755099. The next prime is 725755169. The reversal of 725755160 is 61557527.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725755169) 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 63 ways as a sum of consecutive naturals, for example, 4870766 + ... + 4870914.

Almost surely, 2^725755160 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 725755160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020600000).

725755160 is an abundant number, since it is smaller than the sum of its proper divisors (1315444840).

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

725755160 is a wasteful number, since it uses less digits than its factorization.

725755160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 38.

The square root of 725755160 is about 26939.8433551496. The cubic root of 725755160 is about 898.6626887687.

The spelling of 725755160 in words is "seven hundred twenty-five million, seven hundred fifty-five thousand, one hundred sixty".