10584072 has 96 divisors (see below), whose sum is σ = 30677400. Its totient is φ = 3290112.

The previous prime is 10584061. The next prime is 10584073. The reversal of 10584072 is 27048501.

10584072 is a `hidden beast` number, since 10 + 584 + 0 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10458756 + 125316 = 3234^2 + 354^2 .

It is a super-2 number, since 2×10584072² = 224045160202368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10584073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77188 + ... + 77324.

Almost surely, 2^10584072 is an apocalyptic number.

10584072 is a gapful number since it is divisible by the number (12) 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 10584072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15338700).

10584072 is an abundant number, since it is smaller than the sum of its proper divisors (20093328).

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

10584072 is a wasteful number, since it uses less digits than its factorization.

10584072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

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

The square root of 10584072 is about 3253.3170764621. The cubic root of 10584072 is about 219.5588404650.

The spelling of 10584072 in words is "ten million, five hundred eighty-four thousand, seventy-two".