72641 has 4 divisors (see below), whose sum is σ = 76932. Its totient is φ = 68352.

The previous prime is 72623. The next prime is 72643. The reversal of 72641 is 14627.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 34225 = 196^2 + 185^2 .

It is a cyclic number.

It is not a de Polignac number, because 72641 - 2⁶ = 72577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72643) 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, 2120 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (19233).

2⁷²⁶⁴¹ is an apocalyptic number.

It is an amenable number.

72641 is a deficient number, since it is larger than the sum of its proper divisors (4291).

72641 is a wasteful number, since it uses less digits than its factorization.

72641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290.

The product of its digits is 336, while the sum is 20.

The square root of 72641 is about 269.5199436034. The cubic root of 72641 is about 41.7247687198.

It can be divided in two parts, 726 and 41, that added together give a palindrome (767).

The spelling of 72641 in words is "seventy-two thousand, six hundred forty-one".