581672 has 64 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 211968.

The previous prime is 581663. The next prime is 581683. The reversal of 581672 is 276185.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

581672 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 15 ways as a sum of consecutive naturals, for example, 12353 + ... + 12399.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁵⁸¹⁶⁷² is an apocalyptic number.

581672 is a gapful number since it is divisible by the number (52) 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 581672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

581672 is an abundant number, since it is smaller than the sum of its proper divisors (869848).

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

581672 is a wasteful number, since it uses less digits than its factorization.

581672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 581672 is about 762.6742423866. The cubic root of 581672 is about 83.4755686468.

The spelling of 581672 in words is "five hundred eighty-one thousand, six hundred seventy-two".