72732013 has 2 divisors, whose sum is σ = 72732014. Its totient is φ = 72732012.

The previous prime is 72731993. The next prime is 72732031. The reversal of 72732013 is 31023727.

Together with next prime (72732031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60808804 + 11923209 = 7798^2 + 3453^2 .

It is a cyclic number.

It is not a de Polignac number, because 72732013 - 2⁹ = 72731501 is a prime.

It is a super-3 number, since 3×72732013³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72772013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36366006 + 36366007.

It is an arithmetic number, because the mean of its divisors is an integer number (36366007).

Almost surely, 2^72732013 is an apocalyptic number.

It is an amenable number.

72732013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72732013 is an equidigital number, since it uses as much as digits as its factorization.

72732013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 72732013 is about 8528.3065728197. The cubic root of 72732013 is about 417.4218731026.

The spelling of 72732013 in words is "seventy-two million, seven hundred thirty-two thousand, thirteen".