725750418100 has 72 divisors (see below), whose sum is σ = 1615447507520. Its totient is φ = 282855041280.

The previous prime is 725750418097. The next prime is 725750418121. The reversal of 725750418100 is 1814057527.

It is a super-2 number, since 2×725750418100² (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 23 ways as a sum of consecutive naturals, for example, 1552369 + ... + 1965031.

Almost surely, 2^725750418100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725750418100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807723753760).

725750418100 is an abundant number, since it is smaller than the sum of its proper divisors (889697089420).

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

725750418100 is a wasteful number, since it uses less digits than its factorization.

725750418100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413129 (or 413122 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 40.

The spelling of 725750418100 in words is "seven hundred twenty-five billion, seven hundred fifty million, four hundred eighteen thousand, one hundred".