10567872 has 84 divisors (see below), whose sum is σ = 34631376. Its totient is φ = 3018240.

The previous prime is 10567871. The next prime is 10567889. The reversal of 10567872 is 27876501.

10567872 is a `hidden beast` number, since 10 + 567 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×10567872² = 223359837216768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10567871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2722 + ... + 5342.

Almost surely, 2^10567872 is an apocalyptic number.

10567872 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 10567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315688).

10567872 is an abundant number, since it is smaller than the sum of its proper divisors (24063504).

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

10567872 is a wasteful number, since it uses less digits than its factorization.

10567872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 10567872 is about 3250.8263564823. The cubic root of 10567872 is about 219.4467642096.

The spelling of 10567872 in words is "ten million, five hundred sixty-seven thousand, eight hundred seventy-two".