10001772 has 48 divisors (see below), whose sum is σ = 28291200. Its totient is φ = 3030480.

The previous prime is 10001759. The next prime is 10001777. The reversal of 10001772 is 27710001.

10001772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10001777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3022 + ... + 5397.

It is an arithmetic number, because the mean of its divisors is an integer number (589400).

Almost surely, 2^10001772 is an apocalyptic number.

10001772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001772 is an abundant number, since it is smaller than the sum of its proper divisors (18289428).

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

10001772 is a wasteful number, since it uses less digits than its factorization.

10001772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8443 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 10001772 is about 3162.5578255583. The cubic root of 10001772 is about 215.4561937792.

Adding to 10001772 its reverse (27710001), we get a palindrome (37711773).

It can be divided in two parts, 1000 and 1772, that added together give a palindrome (2772).

The spelling of 10001772 in words is "ten million, one thousand, seven hundred seventy-two".