1772232 has 96 divisors (see below), whose sum is σ = 5663520. Its totient is φ = 456960.

The previous prime is 1772227. The next prime is 1772237. The reversal of 1772232 is 2322771.

It is an interprime number because it is at equal distance from previous prime (1772227) and next prime (1772237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1772237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12868 + ... + 13004.

It is an arithmetic number, because the mean of its divisors is an integer number (58995).

2^1772232 is an apocalyptic number.

1772232 is a gapful number since it is divisible by the number (12) 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 1772232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831760).

1772232 is an abundant number, since it is smaller than the sum of its proper divisors (3891288).

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

1772232 is a wasteful number, since it uses less digits than its factorization.

1772232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 1772232 is about 1331.2520422520. The cubic root of 1772232 is about 121.0152748059.

The spelling of 1772232 in words is "one million, seven hundred seventy-two thousand, two hundred thirty-two".