642752 has 42 divisors (see below), whose sum is σ = 1418844. Its totient is φ = 288640.

The previous prime is 642739. The next prime is 642769. The reversal of 642752 is 257246.

Its product of digits (3360) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7703 + ... + 7785.

It is an arithmetic number, because the mean of its divisors is an integer number (33782).

2⁶⁴²⁷⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709422).

642752 is an abundant number, since it is smaller than the sum of its proper divisors (776092).

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

642752 is a wasteful number, since it uses less digits than its factorization.

642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 642752 is about 801.7181549647. The cubic root of 642752 is about 86.3007318986.

Adding to 642752 its reverse (257246), we get a palindrome (899998).

The spelling of 642752 in words is "six hundred forty-two thousand, seven hundred fifty-two".