75701 has 8 divisors (see below), whose sum is σ = 82584. Its totient is φ = 69120.

The previous prime is 75689. The next prime is 75703. The reversal of 75701 is 10757.

It can be written as a sum of positive squares in 4 ways, for example, as 5476 + 70225 = 74^2 + 265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (10323).

2⁷⁵⁷⁰¹ is an apocalyptic number.

It is an amenable number.

75701 is a deficient number, since it is larger than the sum of its proper divisors (6883).

75701 is a wasteful number, since it uses less digits than its factorization.

75701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 75701 is about 275.1381471189. The cubic root of 75701 is about 42.3026140970.

The spelling of 75701 in words is "seventy-five thousand, seven hundred one".