10006472 has 64 divisors (see below), whose sum is σ = 23742720. Its totient is φ = 3852288.

The previous prime is 10006463. The next prime is 10006481. The reversal of 10006472 is 27460001.

10006472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10006463) and next prime (10006481).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21668 + ... + 22124.

It is an arithmetic number, because the mean of its divisors is an integer number (370980).

Almost surely, 2^10006472 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 10006472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871360).

10006472 is an abundant number, since it is smaller than the sum of its proper divisors (13736248).

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

10006472 is a wasteful number, since it uses less digits than its factorization.

10006472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10006472 is about 3163.3008077007. The cubic root of 10006472 is about 215.4899373176.

Adding to 10006472 its reverse (27460001), we get a palindrome (37466473).

The spelling of 10006472 in words is "ten million, six thousand, four hundred seventy-two".