72015029 has 2 divisors, whose sum is σ = 72015030. Its totient is φ = 72015028.

The previous prime is 72014989. The next prime is 72015049. The reversal of 72015029 is 92051027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40934404 + 31080625 = 6398^2 + 5575^2 .

It is a cyclic number.

It is not a de Polignac number, because 72015029 - 2²⁴ = 55237813 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72014989 and 72015007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72015049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36007514 + 36007515.

It is an arithmetic number, because the mean of its divisors is an integer number (36007515).

Almost surely, 2^72015029 is an apocalyptic number.

It is an amenable number.

72015029 is a deficient number, since it is larger than the sum of its proper divisors (1).

72015029 is an equidigital number, since it uses as much as digits as its factorization.

72015029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 72015029 is about 8486.1669203475. The cubic root of 72015029 is about 416.0457085038.

The spelling of 72015029 in words is "seventy-two million, fifteen thousand, twenty-nine".