72849041 has 8 divisors (see below), whose sum is σ = 74950440. Its totient is φ = 70754688.

The previous prime is 72849031. The next prime is 72849043. The reversal of 72849041 is 14094827.

It can be written as a sum of positive squares in 4 ways, for example, as 3610000 + 69239041 = 1900^2 + 8321^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72849041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72848992 and 72849010.

It is not an unprimeable number, because it can be changed into a prime (72849043) 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 7 ways as a sum of consecutive naturals, for example, 24845 + ... + 27621.

It is an arithmetic number, because the mean of its divisors is an integer number (9368805).

Almost surely, 2^72849041 is an apocalyptic number.

It is an amenable number.

72849041 is a deficient number, since it is larger than the sum of its proper divisors (2101399).

72849041 is a wasteful number, since it uses less digits than its factorization.

72849041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 72849041 is about 8535.1649661855. The cubic root of 72849041 is about 417.6456345887.

The spelling of 72849041 in words is "seventy-two million, eight hundred forty-nine thousand, forty-one".