1642752 has 108 divisors (see below), whose sum is σ = 5101824. Its totient is φ = 506880.

The previous prime is 1642741. The next prime is 1642769. The reversal of 1642752 is 2572461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52977 + ... + 53007.

2^1642752 is an apocalyptic number.

1642752 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 1642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550912).

1642752 is an abundant number, since it is smaller than the sum of its proper divisors (3459072).

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

1642752 is a wasteful number, since it uses less digits than its factorization.

1642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 1642752 is about 1281.6988725906. The cubic root of 1642752 is about 117.9932965645.

It can be divided in two parts, 164 and 2752, that added together give a square (2916 = 54²).

The spelling of 1642752 in words is "one million, six hundred forty-two thousand, seven hundred fifty-two".