10084572 has 72 divisors (see below), whose sum is σ = 26806416. Its totient is φ = 3193344.

The previous prime is 10084567. The next prime is 10084601. The reversal of 10084572 is 27548001.

10084572 is a `hidden beast` number, since 10 + 0 + 84 + 572 = 666.

10084572 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89188 + ... + 89300.

Almost surely, 2^10084572 is an apocalyptic number.

10084572 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 10084572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403208).

10084572 is an abundant number, since it is smaller than the sum of its proper divisors (16721844).

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

10084572 is a wasteful number, since it uses less digits than its factorization.

10084572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

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

The square root of 10084572 is about 3175.6215139717. The cubic root of 10084572 is about 216.0491143459.

The spelling of 10084572 in words is "ten million, eighty-four thousand, five hundred seventy-two".