72910829 has 2 divisors, whose sum is σ = 72910830. Its totient is φ = 72910828.

The previous prime is 72910819. The next prime is 72910861. The reversal of 72910829 is 92801927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65237929 + 7672900 = 8077^2 + 2770^2 .

It is a cyclic number.

It is not a de Polignac number, because 72910829 - 2¹⁶ = 72845293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72910792 and 72910801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72910819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36455414 + 36455415.

It is an arithmetic number, because the mean of its divisors is an integer number (36455415).

Almost surely, 2^72910829 is an apocalyptic number.

It is an amenable number.

72910829 is a deficient number, since it is larger than the sum of its proper divisors (1).

72910829 is an equidigital number, since it uses as much as digits as its factorization.

72910829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 72910829 is about 8538.7838126984. The cubic root of 72910829 is about 417.7636786782.

The spelling of 72910829 in words is "seventy-two million, nine hundred ten thousand, eight hundred twenty-nine".