72136873 has 2 divisors, whose sum is σ = 72136874. Its totient is φ = 72136872.

The previous prime is 72136871. The next prime is 72136931. The reversal of 72136873 is 37863127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71436304 + 700569 = 8452^2 + 837^2 .

It is a cyclic number.

It is not a de Polignac number, because 72136873 - 2¹ = 72136871 is a prime.

Together with 72136871, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72136871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36068436 + 36068437.

It is an arithmetic number, because the mean of its divisors is an integer number (36068437).

Almost surely, 2^72136873 is an apocalyptic number.

It is an amenable number.

72136873 is a deficient number, since it is larger than the sum of its proper divisors (1).

72136873 is an equidigital number, since it uses as much as digits as its factorization.

72136873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42336, while the sum is 37.

The square root of 72136873 is about 8493.3428636786. The cubic root of 72136873 is about 416.2802156220.

The spelling of 72136873 in words is "seventy-two million, one hundred thirty-six thousand, eight hundred seventy-three".