1772352 has 84 divisors (see below), whose sum is σ = 5408676. Its totient is φ = 552960.

The previous prime is 1772341. The next prime is 1772359. The reversal of 1772352 is 2532771.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 1218816 = 744^2 + 1104^2 .

It is a super-2 number, since 2×1772352² = 6282463223808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9702 + ... + 9882.

It is an arithmetic number, because the mean of its divisors is an integer number (64389).

2^1772352 is an apocalyptic number.

1772352 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 1772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704338).

1772352 is an abundant number, since it is smaller than the sum of its proper divisors (3636324).

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

1772352 is a wasteful number, since it uses less digits than its factorization.

1772352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 1772352 is about 1331.2971118424. The cubic root of 1772352 is about 121.0180061085.

The spelling of 1772352 in words is "one million, seven hundred seventy-two thousand, three hundred fifty-two".