725754 has 32 divisors (see below), whose sum is σ = 1552320. Its totient is φ = 225792.

The previous prime is 725749. The next prime is 725789. The reversal of 725754 is 457527.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725754.

It is an unprimeable number.

725754 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7434 + ... + 7530.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁷²⁵⁷⁵⁴ is an apocalyptic number.

725754 is an abundant number, since it is smaller than the sum of its proper divisors (826566).

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

725754 is a wasteful number, since it uses less digits than its factorization.

725754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its digits is 9800, while the sum is 30.

The square root of 725754 is about 851.9119672830. The cubic root of 725754 is about 89.8662209980.

The spelling of 725754 in words is "seven hundred twenty-five thousand, seven hundred fifty-four".