72083729 has 2 divisors, whose sum is σ = 72083730. Its totient is φ = 72083728.

The previous prime is 72083651. The next prime is 72083731. The reversal of 72083729 is 92738027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52591504 + 19492225 = 7252^2 + 4415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72083729 is a prime.

Together with 72083731, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72083692 and 72083701.

It is not a weakly prime, because it can be changed into another prime (72083749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36041864 + 36041865.

It is an arithmetic number, because the mean of its divisors is an integer number (36041865).

Almost surely, 2^72083729 is an apocalyptic number.

It is an amenable number.

72083729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72083729 is an equidigital number, since it uses as much as digits as its factorization.

72083729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 72083729 is about 8490.2137193359. The cubic root of 72083729 is about 416.1779644903.

The spelling of 72083729 in words is "seventy-two million, eighty-three thousand, seven hundred twenty-nine".