73872013 has 2 divisors, whose sum is σ = 73872014. Its totient is φ = 73872012.

The previous prime is 73872011. The next prime is 73872041. The reversal of 73872013 is 31027837.

73872013 = 6077² + 6078².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36942084 + 36929929 = 6078^2 + 6077^2 .

It is a cyclic number.

It is not a de Polignac number, because 73872013 - 2¹ = 73872011 is a prime.

Together with 73872011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73872011) 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, 36936006 + 36936007.

It is an arithmetic number, because the mean of its divisors is an integer number (36936007).

Almost surely, 2^73872013 is an apocalyptic number.

73872013 is the 6078-th centered square number.

It is an amenable number.

73872013 is a deficient number, since it is larger than the sum of its proper divisors (1).

73872013 is an equidigital number, since it uses as much as digits as its factorization.

73872013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 73872013 is about 8594.8829544096. The cubic root of 73872013 is about 419.5914640441.

The spelling of 73872013 in words is "seventy-three million, eight hundred seventy-two thousand, thirteen".