10706872 has 48 divisors (see below), whose sum is σ = 23319720. Its totient is φ = 4569600.

The previous prime is 10706851. The next prime is 10706879. The reversal of 10706872 is 27860701.

It is a happy number.

It is a super-2 number, since 2×10706872² = 229274216048768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10706879) 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, 25222 + ... + 25642.

Almost surely, 2^10706872 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 10706872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11659860).

10706872 is an abundant number, since it is smaller than the sum of its proper divisors (12612848).

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

10706872 is a wasteful number, since it uses less digits than its factorization.

10706872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 10706872 is about 3272.1356940078. The cubic root of 10706872 is about 220.4047095896.

The spelling of 10706872 in words is "ten million, seven hundred six thousand, eight hundred seventy-two".