725023408200 has 384 divisors, whose sum is σ = 2769880216320. Its totient is φ = 152770867200.

The previous prime is 725023408189. The next prime is 725023408273. The reversal of 725023408200 is 2804320527.

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, 43507870 + ... + 43524530.

It is an arithmetic number, because the mean of its divisors is an integer number (7213229730).

Almost surely, 2^725023408200 is an apocalyptic number.

725023408200 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 725023408200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384940108160).

725023408200 is an abundant number, since it is smaller than the sum of its proper divisors (2044856808120).

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

725023408200 is a wasteful number, since it uses less digits than its factorization.

725023408200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17497 (or 17488 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 725023408200 its reverse (2804320527), we get a palindrome (727827728727).

The spelling of 725023408200 in words is "seven hundred twenty-five billion, twenty-three million, four hundred eight thousand, two hundred".