72137137 has 4 divisors (see below), whose sum is σ = 76380516. Its totient is φ = 67893760.

The previous prime is 72137111. The next prime is 72137141. The reversal of 72137137 is 73173127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73173127 = 107 ⋅683861.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 40056241 = 5664^2 + 6329^2 .

It is a cyclic number.

It is not a de Polignac number, because 72137137 - 2¹⁵ = 72104369 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72137099 and 72137108.

It is not an unprimeable number, because it can be changed into a prime (72137237) 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 in 3 ways as a sum of consecutive naturals, for example, 2121664 + ... + 2121697.

It is an arithmetic number, because the mean of its divisors is an integer number (19095129).

Almost surely, 2^72137137 is an apocalyptic number.

It is an amenable number.

72137137 is a deficient number, since it is larger than the sum of its proper divisors (4243379).

72137137 is a wasteful number, since it uses less digits than its factorization.

72137137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243378.

The product of its digits is 6174, while the sum is 31.

The square root of 72137137 is about 8493.3584052482. The cubic root of 72137137 is about 416.2807234429.

The spelling of 72137137 in words is "seventy-two million, one hundred thirty-seven thousand, one hundred thirty-seven".