9005724 has 72 divisors (see below), whose sum is σ = 28028000. Its totient is φ = 2374272.

The previous prime is 9005723. The next prime is 9005729. The reversal of 9005724 is 4275009.

9005724 is a `hidden beast` number, since 90 + 0 + 572 + 4 = 666.

It is a super-2 number, since 2×9005724² = 162206129528352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005723) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1902 + ... + 4650.

Almost surely, 2^9005724 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 9005724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014000).

9005724 is an abundant number, since it is smaller than the sum of its proper divisors (19022276).

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

9005724 is a wasteful number, since it uses less digits than its factorization.

9005724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 9005724 is about 3000.9538483622. The cubic root of 9005724 is about 208.0524707368.

The spelling of 9005724 in words is "nine million, five thousand, seven hundred twenty-four".