725796288 has 336 divisors, whose sum is σ = 2529596160. Its totient is φ = 202051584.

The previous prime is 725796277. The next prime is 725796289. The reversal of 725796288 is 882697527.

It is a happy number.

725796288 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725796289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6422920 + ... + 6423032.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^725796288 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 725796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264798080).

725796288 is an abundant number, since it is smaller than the sum of its proper divisors (1803799872).

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

725796288 is a wasteful number, since it uses less digits than its factorization.

725796288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 725796288 is about 26940.6066746835. The cubic root of 725796288 is about 898.6796639614.

The spelling of 725796288 in words is "seven hundred twenty-five million, seven hundred ninety-six thousand, two hundred eighty-eight".