10012772 has 96 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 3507840.

The previous prime is 10012771. The next prime is 10012777. The reversal of 10012772 is 27721001.

It is not an unprimeable number, because it can be changed into a prime (10012771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169679 + ... + 169737.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^10012772 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 10012772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

10012772 is an abundant number, since it is smaller than the sum of its proper divisors (14179228).

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

10012772 is a wasteful number, since it uses less digits than its factorization.

10012772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 10012772 is about 3164.2964462894. The cubic root of 10012772 is about 215.5351514482.

Adding to 10012772 its reverse (27721001), we get a palindrome (37733773).

It can be divided in two parts, 1001 and 2772, that multiplied together give a palindrome (2774772).

The spelling of 10012772 in words is "ten million, twelve thousand, seven hundred seventy-two".