725472 has 72 divisors (see below), whose sum is σ = 2260440. Its totient is φ = 218880.

The previous prime is 725449. The next prime is 725479. The reversal of 725472 is 274527.

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (3920) is a multiple of the sum of its prime divisors (245).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725479) by changing a digit.

725472 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 11 ways as a sum of consecutive naturals, for example, 3054 + ... + 3282.

It is an arithmetic number, because the mean of its divisors is an integer number (31395).

2⁷²⁵⁴⁷² is an apocalyptic number.

725472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130220).

725472 is an abundant number, since it is smaller than the sum of its proper divisors (1534968).

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

725472 is a wasteful number, since it uses less digits than its factorization.

725472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 725472 is about 851.7464411431. The cubic root of 725472 is about 89.8545799749.

Adding to 725472 its reverse (274527), we get a palindrome (999999).

The spelling of 725472 in words is "seven hundred twenty-five thousand, four hundred seventy-two".