1001772 has 18 divisors (see below), whose sum is σ = 2532348. Its totient is φ = 333912.

The previous prime is 1001743. The next prime is 1001783. The reversal of 1001772 is 2771001.

1001772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13878 + ... + 13949.

It is an arithmetic number, because the mean of its divisors is an integer number (140686).

2^1001772 is an apocalyptic number.

1001772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001772 is an abundant number, since it is smaller than the sum of its proper divisors (1530576).

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

1001772 is a wasteful number, since it uses less digits than its factorization.

1001772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27837 (or 27832 counting only the distinct ones).

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

The square root of 1001772 is about 1000.8856078494. The cubic root of 1001772 is about 100.0590318123.

Adding to 1001772 its reverse (2771001), we get a palindrome (3772773).

The spelling of 1001772 in words is "one million, one thousand, seven hundred seventy-two".