72541271 has 16 divisors (see below), whose sum is σ = 82176000. Its totient is φ = 63439200.

The previous prime is 72541237. The next prime is 72541279. The reversal of 72541271 is 17214527.

72541271 = 5² + 6² + ... + 601².

It is not a de Polignac number, because 72541271 - 2⁶ = 72541207 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72541279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67325 + ... + 68393.

It is an arithmetic number, because the mean of its divisors is an integer number (5136000).

Almost surely, 2^72541271 is an apocalyptic number.

72541271 is a deficient number, since it is larger than the sum of its proper divisors (9634729).

72541271 is a wasteful number, since it uses less digits than its factorization.

72541271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310.

The product of its digits is 3920, while the sum is 29.

The square root of 72541271 is about 8517.1163547295. The cubic root of 72541271 is about 417.0566529695.

Adding to 72541271 its reverse (17214527), we get a palindrome (89755798).

The spelling of 72541271 in words is "seventy-two million, five hundred forty-one thousand, two hundred seventy-one".