1722168 has 128 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 456192.

The previous prime is 1722163. The next prime is 1722173. The reversal of 1722168 is 8612271.

It is an interprime number because it is at equal distance from previous prime (1722163) and next prime (1722173).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1344) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1722163) 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, 25671 + ... + 25737.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

2^1722168 is an apocalyptic number.

1722168 is a gapful number since it is divisible by the number (18) 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 1722168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

1722168 is an abundant number, since it is smaller than the sum of its proper divisors (4153032).

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

1722168 is a wasteful number, since it uses less digits than its factorization.

1722168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1722168 is about 1312.3139868187. The cubic root of 1722168 is about 119.8648478396.

The spelling of 1722168 in words is "one million, seven hundred twenty-two thousand, one hundred sixty-eight".