725472536320 has 288 divisors, whose sum is σ = 2007771816960. Its totient is φ = 246018539520.

The previous prime is 725472536303. The next prime is 725472536329. The reversal of 725472536320 is 23635274527.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725472536329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387330904 + ... + 387332776.

It is an arithmetic number, because the mean of its divisors is an integer number (6971429920).

Almost surely, 2^725472536320 is an apocalyptic number.

725472536320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725472536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003885908480).

725472536320 is an abundant number, since it is smaller than the sum of its proper divisors (1282299280640).

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

725472536320 is a wasteful number, since it uses less digits than its factorization.

725472536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 46.

The spelling of 725472536320 in words is "seven hundred twenty-five billion, four hundred seventy-two million, five hundred thirty-six thousand, three hundred twenty".