7201 has 4 divisors (see below), whose sum is σ = 7600. Its totient is φ = 6804.

The previous prime is 7193. The next prime is 7207. The reversal of 7201 is 1027.

7201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 1027 = 13 ⋅79.

It is a cyclic number.

It is not a de Polignac number, because 7201 - 2³ = 7193 is a prime.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (7207) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 171 + ... + 208.

It is an arithmetic number, because the mean of its divisors is an integer number (1900).

2⁷²⁰¹ is an apocalyptic number.

It is an amenable number.

7201 is a deficient number, since it is larger than the sum of its proper divisors (399).

7201 is a wasteful number, since it uses less digits than its factorization.

7201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 7201 is about 84.8587060943. The cubic root of 7201 is about 19.3106816224.

Multiplying 7201 by its sum of digits (10), we get a triangular number (72010 = T₃₇₉).

Adding to 7201 its reverse (1027), we get a palindrome (8228).

The spelling of 7201 in words is "seven thousand, two hundred one", and thus it is an iban number.