75201 has 8 divisors (see below), whose sum is σ = 114624. Its totient is φ = 42960.

The previous prime is 75193. The next prime is 75209. The reversal of 75201 is 10257.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75193) and next prime (75209).

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

It is not a de Polignac number, because 75201 - 2³ = 75193 is a prime.

75201 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75201.

It is not an unprimeable number, because it can be changed into a prime (75209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1770 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (14328).

2⁷⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

75201 is a deficient number, since it is larger than the sum of its proper divisors (39423).

75201 is a wasteful number, since it uses less digits than its factorization.

75201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 75201 is about 274.2280073224. The cubic root of 75201 is about 42.2092729860.

Adding to 75201 its reverse (10257), we get a palindrome (85458).

It can be divided in two parts, 75 and 201, that added together give a triangular number (276 = T₂₃).

The spelling of 75201 in words is "seventy-five thousand, two hundred one".