72100849 has 2 divisors, whose sum is σ = 72100850. Its totient is φ = 72100848.

The previous prime is 72100799. The next prime is 72100871. The reversal of 72100849 is 94800127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61732449 + 10368400 = 7857^2 + 3220^2 .

It is a cyclic number.

It is not a de Polignac number, because 72100849 - 2¹¹ = 72098801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72100849.

It is not a weakly prime, because it can be changed into another prime (72100949) 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 as a sum of consecutive naturals, namely, 36050424 + 36050425.

It is an arithmetic number, because the mean of its divisors is an integer number (36050425).

Almost surely, 2^72100849 is an apocalyptic number.

It is an amenable number.

72100849 is a deficient number, since it is larger than the sum of its proper divisors (1).

72100849 is an equidigital number, since it uses as much as digits as its factorization.

72100849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 72100849 is about 8491.2218790937. The cubic root of 72100849 is about 416.2109095246.

The spelling of 72100849 in words is "seventy-two million, one hundred thousand, eight hundred forty-nine".