72781829 has 2 divisors, whose sum is σ = 72781830. Its totient is φ = 72781828.

The previous prime is 72781783. The next prime is 72781853. The reversal of 72781829 is 92818727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53684929 + 19096900 = 7327^2 + 4370^2 .

It is an emirp because it is prime and its reverse (92818727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72781829 - 2²⁰ = 71733253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72781829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72781859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36390914 + 36390915.

It is an arithmetic number, because the mean of its divisors is an integer number (36390915).

Almost surely, 2^72781829 is an apocalyptic number.

It is an amenable number.

72781829 is a deficient number, since it is larger than the sum of its proper divisors (1).

72781829 is an equidigital number, since it uses as much as digits as its factorization.

72781829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112896, while the sum is 44.

The square root of 72781829 is about 8531.2266996019. The cubic root of 72781829 is about 417.5171522947.

The spelling of 72781829 in words is "seventy-two million, seven hundred eighty-one thousand, eight hundred twenty-nine".