10127772 has 18 divisors (see below), whose sum is σ = 25600848. Its totient is φ = 3375912.

The previous prime is 10127771. The next prime is 10127773. The reversal of 10127772 is 27772101.

It is an interprime number because it is at equal distance from previous prime (10127771) and next prime (10127773).

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10127771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140628 + ... + 140699.

Almost surely, 2^10127772 is an apocalyptic number.

10127772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10127772 is an abundant number, since it is smaller than the sum of its proper divisors (15473076).

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

10127772 is a wasteful number, since it uses less digits than its factorization.

10127772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281337 (or 281332 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 10127772 is about 3182.4160633079. The cubic root of 10127772 is about 216.3571765388.

Adding to 10127772 its reverse (27772101), we get a palindrome (37899873).

The spelling of 10127772 in words is "ten million, one hundred twenty-seven thousand, seven hundred seventy-two".