208002072 has 64 divisors (see below), whose sum is σ = 562360320. Its totient is φ = 63861248.

The previous prime is 208002071. The next prime is 208002079. The reversal of 208002072 is 270200802.

208002072 is nontrivially palindromic in base 7.

208002072 is a modest number, since divided by 2072 gives 208 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208002071) 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 in 15 ways as a sum of consecutive naturals, for example, 13753 + ... + 24599.

It is an arithmetic number, because the mean of its divisors is an integer number (8786880).

Almost surely, 2^208002072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208002072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281180160).

208002072 is an abundant number, since it is smaller than the sum of its proper divisors (354358248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208002072 is a wasteful number, since it uses less digits than its factorization.

208002072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 208002072 is about 14422.2769353525. The cubic root of 208002072 is about 592.5011810762.

Adding to 208002072 its reverse (270200802), we get a palindrome (478202874).

The spelling of 208002072 in words is "two hundred eight million, two thousand, seventy-two".