725572320 has 192 divisors, whose sum is σ = 2514758400. Its totient is φ = 174387200.

The previous prime is 725572303. The next prime is 725572321. The reversal of 725572320 is 23275527.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725572321) by changing a digit.

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, 691156 + ... + 692204.

It is an arithmetic number, because the mean of its divisors is an integer number (13097700).

Almost surely, 2^725572320 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 725572320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257379200).

725572320 is an abundant number, since it is smaller than the sum of its proper divisors (1789186080).

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

725572320 is a wasteful number, since it uses less digits than its factorization.

725572320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 725572320 is about 26936.4496546965. The cubic root of 725572320 is about 898.5872155259.

The spelling of 725572320 in words is "seven hundred twenty-five million, five hundred seventy-two thousand, three hundred twenty".