72613 has 2 divisors, whose sum is σ = 72614. Its totient is φ = 72612.

The previous prime is 72577. The next prime is 72617. The reversal of 72613 is 31627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 3969 = 262^2 + 63^2 .

It is an emirp because it is prime and its reverse (31627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72613 - 2⁹ = 72101 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36306 + 36307.

It is an arithmetic number, because the mean of its divisors is an integer number (36307).

2⁷²⁶¹³ is an apocalyptic number.

It is an amenable number.

72613 is a deficient number, since it is larger than the sum of its proper divisors (1).

72613 is an equidigital number, since it uses as much as digits as its factorization.

72613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 72613 is about 269.4679943889. The cubic root of 72613 is about 41.7194069926.

Subtracting from 72613 its product of digits (252), we obtain a square (72361 = 269²).

The spelling of 72613 in words is "seventy-two thousand, six hundred thirteen".