1772000 has 48 divisors (see below), whose sum is σ = 4363632. Its totient is φ = 707200.

The previous prime is 1771999. The next prime is 1772003. The reversal of 1772000 is 2771.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1772000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3779 + ... + 4221.

It is an arithmetic number, because the mean of its divisors is an integer number (90909).

2^1772000 is an apocalyptic number.

1772000 is a gapful number since it is divisible by the number (10) 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 1772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181816).

1772000 is an abundant number, since it is smaller than the sum of its proper divisors (2591632).

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

1772000 is an equidigital number, since it uses as much as digits as its factorization.

1772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 1772000 is about 1331.1649033835. The cubic root of 1772000 is about 121.0099939381.

Adding to 1772000 its reverse (2771), we get a palindrome (1774771).

The spelling of 1772000 in words is "one million, seven hundred seventy-two thousand".