72165029 has 2 divisors, whose sum is σ = 72165030. Its totient is φ = 72165028.

The previous prime is 72165001. The next prime is 72165031. The reversal of 72165029 is 92056127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72165025 + 4 = 8495^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 72165029 - 2⁸ = 72164773 is a prime.

Together with 72165031, 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 = 72164986 and 72165004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72165089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082514 + 36082515.

It is an arithmetic number, because the mean of its divisors is an integer number (36082515).

Almost surely, 2^72165029 is an apocalyptic number.

It is an amenable number.

72165029 is a deficient number, since it is larger than the sum of its proper divisors (1).

72165029 is an equidigital number, since it uses as much as digits as its factorization.

72165029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 72165029 is about 8495.0002354326. Note that the first 3 decimals coincide. The cubic root of 72165029 is about 416.3343685153.

The spelling of 72165029 in words is "seventy-two million, one hundred sixty-five thousand, twenty-nine".