72272929 has 2 divisors, whose sum is σ = 72272930. Its totient is φ = 72272928.

The previous prime is 72272881. The next prime is 72272939. The reversal of 72272929 is 92927227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56851600 + 15421329 = 7540^2 + 3927^2 .

It is an emirp because it is prime and its reverse (92927227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72272929 - 2⁷ = 72272801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72272891 and 72272900.

It is not a weakly prime, because it can be changed into another prime (72272939) 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, 36136464 + 36136465.

It is an arithmetic number, because the mean of its divisors is an integer number (36136465).

Almost surely, 2^72272929 is an apocalyptic number.

It is an amenable number.

72272929 is a deficient number, since it is larger than the sum of its proper divisors (1).

72272929 is an equidigital number, since it uses as much as digits as its factorization.

72272929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 40.

The square root of 72272929 is about 8501.3486577131. The cubic root of 72272929 is about 416.5417640199.

The spelling of 72272929 in words is "seventy-two million, two hundred seventy-two thousand, nine hundred twenty-nine".