725192 has 32 divisors (see below), whose sum is σ = 1545600. Its totient is φ = 316224.

The previous prime is 725189. The next prime is 725201. The reversal of 725192 is 291527.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1793 + ... + 2159.

It is an arithmetic number, because the mean of its divisors is an integer number (48300).

2⁷²⁵¹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772800).

725192 is an abundant number, since it is smaller than the sum of its proper divisors (820408).

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

725192 is a wasteful number, since it uses less digits than its factorization.

725192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 725192 is about 851.5820571149. The cubic root of 725192 is about 89.8430185271.

The spelling of 725192 in words is "seven hundred twenty-five thousand, one hundred ninety-two".