725760271 has 8 divisors (see below), whose sum is σ = 768648320. Its totient is φ = 683341272.

The previous prime is 725760257. The next prime is 725760353. The reversal of 725760271 is 172067527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 725760271 - 2¹⁹ = 725235983 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 725760271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725760571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114075 + ... + 120268.

It is an arithmetic number, because the mean of its divisors is an integer number (96081040).

Almost surely, 2^725760271 is an apocalyptic number.

725760271 is a deficient number, since it is larger than the sum of its proper divisors (42888049).

725760271 is a wasteful number, since it uses less digits than its factorization.

725760271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234525.

The product of its (nonzero) digits is 41160, while the sum is 37.

The square root of 725760271 is about 26939.9382144800. The cubic root of 725760271 is about 898.6647983205.

It can be divided in two parts, 7257 and 60271, that added together give a triangular number (67528 = T₃₆₇).

The spelling of 725760271 in words is "seven hundred twenty-five million, seven hundred sixty thousand, two hundred seventy-one".