1752 has 16 divisors (see below), whose sum is σ = 4440. Its totient is φ = 576.

The previous prime is 1747. The next prime is 1753. The reversal of 1752 is 2571.

It is a happy number.

1752 is nontrivially palindromic in base 13.

It is a super-3 number, since 3×1752³ = 16133313024, which contains 333 as substring.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

1752 is an undulating number in base 13.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 60.

1752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1752 is an abundant number, since it is smaller than the sum of its proper divisors (2688).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220).

1752 is a wasteful number, since it uses less digits than its factorization.

1752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its digits is 70, while the sum is 15.

The square root of 1752 is about 41.8568990729. The cubic root of 1752 is about 12.0553003203.

The spelling of 1752 in words is "one thousand, seven hundred fifty-two".