68752 has 10 divisors (see below), whose sum is σ = 133238. Its totient is φ = 34368.

The previous prime is 68749. The next prime is 68767. The reversal of 68752 is 25786.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 9216 = 244^2 + 96^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 68752.

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 as a sum of consecutive naturals, namely, 2133 + ... + 2164.

2⁶⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

68752 is a deficient number, since it is larger than the sum of its proper divisors (64486).

68752 is a wasteful number, since it uses less digits than its factorization.

68752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4299 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 68752 is about 262.2060258652. The cubic root of 68752 is about 40.9664607729.

It can be divided in two parts, 68 and 752, that added together give a triangular number (820 = T₄₀).

The spelling of 68752 in words is "sixty-eight thousand, seven hundred fifty-two".