581472 has 48 divisors (see below), whose sum is σ = 1698480. Its totient is φ = 193536.

The previous prime is 581459. The next prime is 581473. The reversal of 581472 is 274185.

581472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581473) by changing a digit.

581472 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, 528 + ... + 1200.

It is an arithmetic number, because the mean of its divisors is an integer number (35385).

2⁵⁸¹⁴⁷² 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 581472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849240).

581472 is an abundant number, since it is smaller than the sum of its proper divisors (1117008).

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

581472 is a wasteful number, since it uses less digits than its factorization.

581472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 581472 is about 762.5431135352. The cubic root of 581472 is about 83.4660002374.

It can be divided in two parts, 5814 and 72, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 581472 in words is "five hundred eighty-one thousand, four hundred seventy-two".