725327280 has 240 divisors, whose sum is σ = 2635233120. Its totient is φ = 178163712.

The previous prime is 725327263. The next prime is 725327293. The reversal of 725327280 is 82723527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×725327280² = 1052199326224396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 505444 + ... + 506876.

It is an arithmetic number, because the mean of its divisors is an integer number (10980138).

Almost surely, 2^725327280 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 725327280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317616560).

725327280 is an abundant number, since it is smaller than the sum of its proper divisors (1909905840).

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

725327280 is a wasteful number, since it uses less digits than its factorization.

725327280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 725327280 is about 26931.9007869849. The cubic root of 725327280 is about 898.4860472953.

The spelling of 725327280 in words is "seven hundred twenty-five million, three hundred twenty-seven thousand, two hundred eighty".