725072051200 has 792 divisors, whose sum is σ = 2169361308240. Its totient is φ = 239468544000.

The previous prime is 725072051189. The next prime is 725072051201. The reversal of 725072051200 is 2150270527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725072051201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7178931150 + ... + 7178931250.

Almost surely, 2^725072051200 is an apocalyptic number.

725072051200 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 725072051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084680654120).

725072051200 is an abundant number, since it is smaller than the sum of its proper divisors (1444289257040).

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

725072051200 is a wasteful number, since it uses less digits than its factorization.

725072051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The spelling of 725072051200 in words is "seven hundred twenty-five billion, seventy-two million, fifty-one thousand, two hundred".