72541 has 8 divisors (see below), whose sum is σ = 85184. Its totient is φ = 60480.

The previous prime is 72533. The next prime is 72547. The reversal of 72541 is 14527.

72541 is nontrivially palindromic in base 15.

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

It is not a de Polignac number, because 72541 - 2³ = 72533 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72547) 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, 181 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (10648).

2⁷²⁵⁴¹ is an apocalyptic number.

72541 is the 156-th hex number.

It is an amenable number.

72541 is a deficient number, since it is larger than the sum of its proper divisors (12643).

72541 is a wasteful number, since it uses less digits than its factorization.

72541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291.

The product of its digits is 280, while the sum is 19.

The square root of 72541 is about 269.3343646845. The cubic root of 72541 is about 41.7056133622.

The spelling of 72541 in words is "seventy-two thousand, five hundred forty-one".