725024160 has 288 divisors, whose sum is σ = 2994630912. Its totient is φ = 155934720.

The previous prime is 725024129. The next prime is 725024191. The reversal of 725024160 is 61420527.

725024160 is a nontrivial binomial coefficient, being equal to C(38080, 2).

It is an interprime number because it is at equal distance from previous prime (725024129) and next prime (725024191).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 169245 + ... + 173475.

It is an arithmetic number, because the mean of its divisors is an integer number (10398024).

Almost surely, 2^725024160 is an apocalyptic number.

725024160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

725024160 is the 38079-th triangular number and also the 19040-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497315456).

725024160 is an abundant number, since it is smaller than the sum of its proper divisors (2269606752).

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

725024160 is a wasteful number, since it uses less digits than its factorization.

725024160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 725024160 is about 26926.2726718720. The cubic root of 725024160 is about 898.3608683837.

Adding to 725024160 its reverse (61420527), we get a palindrome (786444687).

The spelling of 725024160 in words is "seven hundred twenty-five million, twenty-four thousand, one hundred sixty".