71752 has 8 divisors (see below), whose sum is σ = 134550. Its totient is φ = 35872.

The previous prime is 71741. The next prime is 71761. The reversal of 71752 is 25717.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 11236 = 246^2 + 106^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a magnanimous number.

It is a plaindrome in base 11.

It is an unprimeable number.

71752 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 4477 + ... + 4492.

2⁷¹⁷⁵² is an apocalyptic number.

It is an amenable number.

71752 is a deficient number, since it is larger than the sum of its proper divisors (62798).

71752 is a wasteful number, since it uses less digits than its factorization.

71752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8971 counting only the distinct ones).

The product of its digits is 490, while the sum is 22.

The square root of 71752 is about 267.8656379605. The cubic root of 71752 is about 41.5538566269.

The spelling of 71752 in words is "seventy-one thousand, seven hundred fifty-two".