72186929 has 2 divisors, whose sum is σ = 72186930. Its totient is φ = 72186928.

The previous prime is 72186911. The next prime is 72186967. The reversal of 72186929 is 92968127.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72165025 + 21904 = 8495^2 + 148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72186929 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72186929.

It is not a weakly prime, because it can be changed into another prime (72186229) 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 as a sum of consecutive naturals, namely, 36093464 + 36093465.

It is an arithmetic number, because the mean of its divisors is an integer number (36093465).

Almost surely, 2^72186929 is an apocalyptic number.

It is an amenable number.

72186929 is a deficient number, since it is larger than the sum of its proper divisors (1).

72186929 is an equidigital number, since it uses as much as digits as its factorization.

72186929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 44.

The square root of 72186929 is about 8496.2891311443. The cubic root of 72186929 is about 416.3764794039.

The spelling of 72186929 in words is "seventy-two million, one hundred eighty-six thousand, nine hundred twenty-nine".