72047137 has 2 divisors, whose sum is σ = 72047138. Its totient is φ = 72047136.

The previous prime is 72047111. The next prime is 72047149. The reversal of 72047137 is 73174027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54774801 + 17272336 = 7401^2 + 4156^2 .

It is an emirp because it is prime and its reverse (73174027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72047137 - 2¹¹ = 72045089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72047099 and 72047108.

It is not a weakly prime, because it can be changed into another prime (72047167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36023568 + 36023569.

It is an arithmetic number, because the mean of its divisors is an integer number (36023569).

Almost surely, 2^72047137 is an apocalyptic number.

It is an amenable number.

72047137 is a deficient number, since it is larger than the sum of its proper divisors (1).

72047137 is an equidigital number, since it uses as much as digits as its factorization.

72047137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 72047137 is about 8488.0584941434. The cubic root of 72047137 is about 416.1075308345.

It can be divided in two parts, 7204 and 7137, that added together give a palindrome (14341).

The spelling of 72047137 in words is "seventy-two million, forty-seven thousand, one hundred thirty-seven".