725743 has 4 divisors (see below), whose sum is σ = 763960. Its totient is φ = 687528.

The previous prime is 725737. The next prime is 725749. The reversal of 725743 is 347527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 347527 = 167 ⋅2081.

It is an interprime number because it is at equal distance from previous prime (725737) and next prime (725749).

It is a cyclic number.

It is not a de Polignac number, because 725743 - 2¹³ = 717551 is a prime.

It is a Duffinian number.

725743 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725749) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19080 + ... + 19117.

It is an arithmetic number, because the mean of its divisors is an integer number (190990).

2⁷²⁵⁷⁴³ is an apocalyptic number.

725743 is a deficient number, since it is larger than the sum of its proper divisors (38217).

725743 is a wasteful number, since it uses less digits than its factorization.

725743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38216.

The product of its digits is 5880, while the sum is 28.

The square root of 725743 is about 851.9055111924. The cubic root of 725743 is about 89.8657669721.

The spelling of 725743 in words is "seven hundred twenty-five thousand, seven hundred forty-three".