82200729 has 16 divisors (see below), whose sum is σ = 124975872. Its totient is φ = 47609088.

The previous prime is 82200719. The next prime is 82200749. The reversal of 82200729 is 92700228.

It is not a de Polignac number, because 82200729 - 2⁸ = 82200473 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82200696 and 82200705.

It is not an unprimeable number, because it can be changed into a prime (82200709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61329 + ... + 62654.

It is an arithmetic number, because the mean of its divisors is an integer number (7810992).

Almost surely, 2^82200729 is an apocalyptic number.

It is an amenable number.

82200729 is a deficient number, since it is larger than the sum of its proper divisors (42775143).

82200729 is a wasteful number, since it uses less digits than its factorization.

82200729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124016.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 82200729 is about 9066.4617685181. The cubic root of 82200729 is about 434.8023570368.

The spelling of 82200729 in words is "eighty-two million, two hundred thousand, seven hundred twenty-nine".