10072584 has 96 divisors (see below), whose sum is σ = 29640000. Its totient is φ = 3079296.

The previous prime is 10072571. The next prime is 10072589. The reversal of 10072584 is 48527001.

10072584 is a `hidden beast` number, since 10 + 0 + 72 + 584 = 666.

It is not an unprimeable number, because it can be changed into a prime (10072589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50517 + ... + 50715.

It is an arithmetic number, because the mean of its divisors is an integer number (308750).

Almost surely, 2^10072584 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 10072584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820000).

10072584 is an abundant number, since it is smaller than the sum of its proper divisors (19567416).

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

10072584 is a wasteful number, since it uses less digits than its factorization.

10072584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

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

The square root of 10072584 is about 3173.7334481648. The cubic root of 10072584 is about 215.9634711890.

Adding to 10072584 its reverse (48527001), we get a palindrome (58599585).

The spelling of 10072584 in words is "ten million, seventy-two thousand, five hundred eighty-four".