725706 has 32 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 237600.

The previous prime is 725687. The next prime is 725723. The reversal of 725706 is 607527.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 725706.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4731 + ... + 4881.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2⁷²⁵⁷⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

725706 is an abundant number, since it is smaller than the sum of its proper divisors (915894).

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

725706 is a wasteful number, since it uses less digits than its factorization.

725706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 725706 is about 851.8837948922. The cubic root of 725706 is about 89.8642397603.

It can be divided in two parts, 725 and 706, that added together give a triangular number (1431 = T₅₃).

The spelling of 725706 in words is "seven hundred twenty-five thousand, seven hundred six".