10056772 has 48 divisors (see below), whose sum is σ = 20289024. Its totient is φ = 4320000.

The previous prime is 10056769. The next prime is 10056793. The reversal of 10056772 is 27765001.

It is a super-2 number, since 2×10056772² = 202277326119968, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10056772.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99522 + ... + 99622.

It is an arithmetic number, because the mean of its divisors is an integer number (422688).

Almost surely, 2^10056772 is an apocalyptic number.

It is an amenable number.

10056772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

10056772 is a wasteful number, since it uses less digits than its factorization.

10056772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 10056772 is about 3171.2413973080. The cubic root of 10056772 is about 215.8504051068.

It can be divided in two parts, 1005 and 6772, that added together give a palindrome (7777).

The spelling of 10056772 in words is "ten million, fifty-six thousand, seven hundred seventy-two".