725433772176 has 225 divisors, whose sum is σ = 2141145156073. Its totient is φ = 237119961600.

The previous prime is 725433772157. The next prime is 725433772177. The reversal of 725433772176 is 671277334527.

The square root of 725433772176 is 851724.

It is a perfect power (a square), and thus also a powerful number.

725433772176 is a `hidden beast` number, since 7 + 2 + 54 + 3 + 377 + 217 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 718215570576 + 7218201600 = 847476^2 + 84960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725433772177) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1809061576 + ... + 1809061976.

Almost surely, 2^725433772176 is an apocalyptic number.

725433772176 is the 851724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725433772176

725433772176 is an abundant number, since it is smaller than the sum of its proper divisors (1415711383897).

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

725433772176 is an frugal number, since it uses more digits than its factorization.

725433772176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 465 counting only the distinct ones).

The product of its digits is 10372320, while the sum is 54.

The spelling of 725433772176 in words is "seven hundred twenty-five billion, four hundred thirty-three million, seven hundred seventy-two thousand, one hundred seventy-six".