72517261 has 4 divisors (see below), whose sum is σ = 72638524. Its totient is φ = 72396000.

The previous prime is 72517231. The next prime is 72517267. The reversal of 72517261 is 16271527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 16271527 = 37 ⋅439771.

It can be written as a sum of positive squares in 2 ways, for example, as 37589161 + 34928100 = 6131^2 + 5910^2 .

It is a cyclic number.

It is not a de Polignac number, because 72517261 - 2¹³ = 72509069 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 (72517267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59730 + ... + 60931.

It is an arithmetic number, because the mean of its divisors is an integer number (18159631).

Almost surely, 2^72517261 is an apocalyptic number.

It is an amenable number.

72517261 is a deficient number, since it is larger than the sum of its proper divisors (121263).

72517261 is a wasteful number, since it uses less digits than its factorization.

72517261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121262.

The product of its digits is 5880, while the sum is 31.

The square root of 72517261 is about 8515.7067234611. The cubic root of 72517261 is about 417.0106348657.

Adding to 72517261 its reverse (16271527), we get a palindrome (88788788).

The spelling of 72517261 in words is "seventy-two million, five hundred seventeen thousand, two hundred sixty-one".