72721829 has 2 divisors, whose sum is σ = 72721830. Its totient is φ = 72721828.

The previous prime is 72721813. The next prime is 72721841. The reversal of 72721829 is 92812727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72709729 + 12100 = 8527^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 72721829 - 2⁴ = 72721813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72721792 and 72721801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72720829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36360914 + 36360915.

It is an arithmetic number, because the mean of its divisors is an integer number (36360915).

Almost surely, 2^72721829 is an apocalyptic number.

It is an amenable number.

72721829 is a deficient number, since it is larger than the sum of its proper divisors (1).

72721829 is an equidigital number, since it uses as much as digits as its factorization.

72721829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 38.

The square root of 72721829 is about 8527.7094814493. The cubic root of 72721829 is about 417.4023896014.

The spelling of 72721829 in words is "seventy-two million, seven hundred twenty-one thousand, eight hundred twenty-nine".