72115041 has 8 divisors (see below), whose sum is σ = 96194560. Its totient is φ = 48056112.

The previous prime is 72114979. The next prime is 72115049. The reversal of 72115041 is 14051127.

It is a happy number.

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

It is not a de Polignac number, because 72115041 - 2⁹ = 72114529 is a prime.

It is a super-3 number, since 3×72115041³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72114999 and 72115017.

It is not an unprimeable number, because it can be changed into a prime (72115049) 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 7 ways as a sum of consecutive naturals, for example, 7395 + ... + 14103.

It is an arithmetic number, because the mean of its divisors is an integer number (12024320).

Almost surely, 2^72115041 is an apocalyptic number.

It is an amenable number.

72115041 is a deficient number, since it is larger than the sum of its proper divisors (24079519).

72115041 is a wasteful number, since it uses less digits than its factorization.

72115041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10295.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 72115041 is about 8492.0575245343. The cubic root of 72115041 is about 416.2382160810.

Adding to 72115041 its reverse (14051127), we get a palindrome (86166168).

The spelling of 72115041 in words is "seventy-two million, one hundred fifteen thousand, forty-one".