72849536101 has 8 divisors (see below), whose sum is σ = 75449551320. Its totient is φ = 70255385088.

The previous prime is 72849536077. The next prime is 72849536117. The reversal of 72849536101 is 10163594827.

It can be written as a sum of positive squares in 4 ways, for example, as 17741973601 + 55107562500 = 133199^2 + 234750^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 72849536101 - 2⁷ = 72849535973 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 (72849536191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1440756 + ... + 1490461.

It is an arithmetic number, because the mean of its divisors is an integer number (9431193915).

It is a 1-persistent number, because it is pandigital, but 2⋅72849536101 = 145699072202 is not.

Almost surely, 2^72849536101 is an apocalyptic number.

It is an amenable number.

72849536101 is a deficient number, since it is larger than the sum of its proper divisors (2600015219).

72849536101 is a wasteful number, since it uses less digits than its factorization.

72849536101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932103.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 72849536101 in words is "seventy-two billion, eight hundred forty-nine million, five hundred thirty-six thousand, one hundred one".