725721318216 has 96 divisors (see below), whose sum is σ = 2054597088960. Its totient is φ = 230978115456.

The previous prime is 725721318211. The next prime is 725721318241. The reversal of 725721318216 is 612813127527.

725721318216 is a `hidden beast` number, since 7 + 257 + 213 + 182 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (725721318211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543130 + ... + 1321526.

It is an arithmetic number, because the mean of its divisors is an integer number (21402053010).

Almost surely, 2^725721318216 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 725721318216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027298544480).

725721318216 is an abundant number, since it is smaller than the sum of its proper divisors (1328875770744).

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

725721318216 is a wasteful number, since it uses less digits than its factorization.

725721318216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778995 (or 778988 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 725721318216 in words is "seven hundred twenty-five billion, seven hundred twenty-one million, three hundred eighteen thousand, two hundred sixteen".