10127712 has 72 divisors (see below), whose sum is σ = 30940056. Its totient is φ = 2892288.

The previous prime is 10127693. The next prime is 10127729. The reversal of 10127712 is 21772101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3628 + ... + 5780.

It is an arithmetic number, because the mean of its divisors is an integer number (429723).

Almost surely, 2^10127712 is an apocalyptic number.

10127712 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 10127712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15470028).

10127712 is an abundant number, since it is smaller than the sum of its proper divisors (20812344).

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

10127712 is a wasteful number, since it uses less digits than its factorization.

10127712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 10127712 is about 3182.4066364938. The cubic root of 10127712 is about 216.3567492827.

Adding to 10127712 its reverse (21772101), we get a palindrome (31899813).

The spelling of 10127712 in words is "ten million, one hundred twenty-seven thousand, seven hundred twelve".