725105902752 has 576 divisors, whose sum is σ = 2770463969280. Its totient is φ = 182260108800.

The previous prime is 725105902723. The next prime is 725105902789. The reversal of 725105902752 is 257209501527.

725105902752 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 0 + 590 + 2 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 725105902698 and 725105902707.

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, 14411463 + ... + 14461689.

It is an arithmetic number, because the mean of its divisors is an integer number (4809833280).

Almost surely, 2^725105902752 is an apocalyptic number.

725105902752 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 725105902752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385231984640).

725105902752 is an abundant number, since it is smaller than the sum of its proper divisors (2045358066528).

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

725105902752 is a wasteful number, since it uses less digits than its factorization.

725105902752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50302 (or 50281 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 725105902752 in words is "seven hundred twenty-five billion, one hundred five million, nine hundred two thousand, seven hundred fifty-two".