725189027472 has 960 divisors, whose sum is σ = 2642470871040. Its totient is φ = 180599279616.

The previous prime is 725189027461. The next prime is 725189027473. The reversal of 725189027472 is 274720981527.

725189027472 is a `hidden beast` number, since 72 + 5 + 1 + 89 + 0 + 27 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (725189027473) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3681162478 + ... + 3681162674.

It is an arithmetic number, because the mean of its divisors is an integer number (2752573824).

Almost surely, 2^725189027472 is an apocalyptic number.

725189027472 is a gapful number since it is divisible by the number (72) 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 725189027472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321235435520).

725189027472 is an abundant number, since it is smaller than the sum of its proper divisors (1917281843568).

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

725189027472 is a wasteful number, since it uses less digits than its factorization.

725189027472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 725189027472 in words is "seven hundred twenty-five billion, one hundred eighty-nine million, twenty-seven thousand, four hundred seventy-two".