72635029 has 2 divisors, whose sum is σ = 72635030. Its totient is φ = 72635028.

The previous prime is 72635023. The next prime is 72635039. The reversal of 72635029 is 92053627.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40030929 + 32604100 = 6327^2 + 5710^2 .

It is a cyclic number.

It is not a de Polignac number, because 72635029 - 2³ = 72635021 is a prime.

It is equal to p_4263874 and since 72635029 and 4263874 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 72634985 and 72635003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72635021) 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, 36317514 + 36317515.

It is an arithmetic number, because the mean of its divisors is an integer number (36317515).

Almost surely, 2^72635029 is an apocalyptic number.

It is an amenable number.

72635029 is a deficient number, since it is larger than the sum of its proper divisors (1).

72635029 is an equidigital number, since it uses as much as digits as its factorization.

72635029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 72635029 is about 8522.6186703384. The cubic root of 72635029 is about 417.2362544703.

The spelling of 72635029 in words is "seventy-two million, six hundred thirty-five thousand, twenty-nine".