725272301460 has 288 divisors, whose sum is σ = 2411230671360. Its totient is φ = 162367027200.

The previous prime is 725272301459. The next prime is 725272301549. The reversal of 725272301460 is 64103272527.

725272301460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×725272301460² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42853800 + ... + 42870720.

It is an arithmetic number, because the mean of its divisors is an integer number (8372328720).

Almost surely, 2^725272301460 is an apocalyptic number.

725272301460 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 725272301460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205615335680).

725272301460 is an abundant number, since it is smaller than the sum of its proper divisors (1685958369900).

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

725272301460 is a wasteful number, since it uses less digits than its factorization.

725272301460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17247 (or 17238 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

Adding to 725272301460 its reverse (64103272527), we get a palindrome (789375573987).

The spelling of 725272301460 in words is "seven hundred twenty-five billion, two hundred seventy-two million, three hundred one thousand, four hundred sixty".