10136772 has 48 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 3305376.

The previous prime is 10136771. The next prime is 10136773. The reversal of 10136772 is 27763101.

It is an interprime number because it is at equal distance from previous prime (10136771) and next prime (10136773).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10136771) 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 15 ways as a sum of consecutive naturals, for example, 4078 + ... + 6074.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 2^10136772 is an apocalyptic number.

10136772 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 10136772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560).

10136772 is an abundant number, since it is smaller than the sum of its proper divisors (16716348).

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

10136772 is a wasteful number, since it uses less digits than its factorization.

10136772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 10136772 is about 3183.8297693187. The cubic root of 10136772 is about 216.4212458484.

Adding to 10136772 its reverse (27763101), we get a palindrome (37899873).

The spelling of 10136772 in words is "ten million, one hundred thirty-six thousand, seven hundred seventy-two".