725736 has 32 divisors (see below), whose sum is σ = 1980000. Its totient is φ = 219840.

The previous prime is 725731. The next prime is 725737. The reversal of 725736 is 637527.

It is a d-powerful number, because it can be written as 7⁵ + 2¹⁷ + 7⁶ + 5⁵ + 3¹¹ + 6⁷ .

It is not an unprimeable number, because it can be changed into a prime (725731) by changing a digit.

725736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (61875).

2⁷²⁵⁷³⁶ is an apocalyptic number.

It is an amenable number.

725736 is an abundant number, since it is smaller than the sum of its proper divisors (1254264).

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

725736 is a wasteful number, since it uses less digits than its factorization.

725736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2765 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 725736 is about 851.9014027456. The cubic root of 725736 is about 89.8654780441.

Subtracting from 725736 its reverse (637527), we obtain a square (88209 = 297²).

The spelling of 725736 in words is "seven hundred twenty-five thousand, seven hundred thirty-six".