72001 has 4 divisors (see below), whose sum is σ = 72900. Its totient is φ = 71104.

The previous prime is 71999. The next prime is 72019. The reversal of 72001 is 10027.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10027 = 37 ⋅271.

It can be written as a sum of positive squares in 2 ways, for example, as 39601 + 32400 = 199^2 + 180^2 .

It is a cyclic number.

It is not a de Polignac number, because 72001 - 2¹ = 71999 is a prime.

It is a Duffinian number.

72001 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (18225).

2⁷²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

72001 is a deficient number, since it is larger than the sum of its proper divisors (899).

72001 is an equidigital number, since it uses as much as digits as its factorization.

72001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898.

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

The square root of 72001 is about 268.3300206835. The cubic root of 72001 is about 41.6018690605.

Adding to 72001 its reverse (10027), we get a palindrome (82028).

The spelling of 72001 in words is "seventy-two thousand, one", and thus it is an iban number.