725871 has 8 divisors (see below), whose sum is σ = 975744. Its totient is φ = 479960.

The previous prime is 725867. The next prime is 725891. The reversal of 725871 is 178527.

It is a happy number.

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 725871 - 2² = 725867 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725871.

It is not an unprimeable number, because it can be changed into a prime (725801) 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, 531 + ... + 1316.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

2⁷²⁵⁸⁷¹ is an apocalyptic number.

725871 is a deficient number, since it is larger than the sum of its proper divisors (249873).

725871 is a wasteful number, since it uses less digits than its factorization.

725871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981.

The product of its digits is 3920, while the sum is 30.

The square root of 725871 is about 851.9806335827. The cubic root of 725871 is about 89.8710498992.

It can be divided in two parts, 725 and 871, that added together give a triangular number (1596 = T₅₆).

The spelling of 725871 in words is "seven hundred twenty-five thousand, eight hundred seventy-one".