725774271672 has 256 divisors, whose sum is σ = 2007510013440. Its totient is φ = 217692389376.

The previous prime is 725774271671. The next prime is 725774271683. The reversal of 725774271672 is 276172477527.

It is a super-3 number, since 3×725774271672³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725774271671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 624052963 + ... + 624054125.

It is an arithmetic number, because the mean of its divisors is an integer number (7841835990).

Almost surely, 2^725774271672 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 725774271672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003755006720).

725774271672 is an abundant number, since it is smaller than the sum of its proper divisors (1281735741768).

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

725774271672 is a wasteful number, since it uses less digits than its factorization.

725774271672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1906 counting only the distinct ones).

The product of its digits is 16134720, while the sum is 57.

The spelling of 725774271672 in words is "seven hundred twenty-five billion, seven hundred seventy-four million, two hundred seventy-one thousand, six hundred seventy-two".