72828029 has 2 divisors, whose sum is σ = 72828030. Its totient is φ = 72828028.

The previous prime is 72828011. The next prime is 72828043. The reversal of 72828029 is 92082827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47927929 + 24900100 = 6923^2 + 4990^2 .

It is a cyclic number.

It is not a de Polignac number, because 72828029 - 2²⁰ = 71779453 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72827983 and 72828001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72828089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36414014 + 36414015.

It is an arithmetic number, because the mean of its divisors is an integer number (36414015).

Almost surely, 2^72828029 is an apocalyptic number.

It is an amenable number.

72828029 is a deficient number, since it is larger than the sum of its proper divisors (1).

72828029 is an equidigital number, since it uses as much as digits as its factorization.

72828029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 72828029 is about 8533.9339697469. The cubic root of 72828029 is about 417.6054765953.

The spelling of 72828029 in words is "seventy-two million, eight hundred twenty-eight thousand, twenty-nine".