72083813 has 2 divisors, whose sum is σ = 72083814. Its totient is φ = 72083812.

The previous prime is 72083749. The next prime is 72083819. The reversal of 72083813 is 31838027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61984129 + 10099684 = 7873^2 + 3178^2 .

It is a cyclic number.

It is not a de Polignac number, because 72083813 - 2⁶ = 72083749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72083813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72083819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36041906 + 36041907.

It is an arithmetic number, because the mean of its divisors is an integer number (36041907).

Almost surely, 2^72083813 is an apocalyptic number.

It is an amenable number.

72083813 is a deficient number, since it is larger than the sum of its proper divisors (1).

72083813 is an equidigital number, since it uses as much as digits as its factorization.

72083813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 72083813 is about 8490.2186662064. The cubic root of 72083813 is about 416.1781261492.

The spelling of 72083813 in words is "seventy-two million, eighty-three thousand, eight hundred thirteen".