208251072 has 84 divisors (see below), whose sum is σ = 606801936. Its totient is φ = 68267520.

The previous prime is 208251049. The next prime is 208251073. The reversal of 208251072 is 270152802.

208251072 is a `hidden beast` number, since 2 + 0 + 82 + 510 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (208251073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32173 + ... + 38099.

Almost surely, 2^208251072 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 208251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303400968).

208251072 is an abundant number, since it is smaller than the sum of its proper divisors (398550864).

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

208251072 is a wasteful number, since it uses less digits than its factorization.

208251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 208251072 is about 14430.9068322126. The cubic root of 208251072 is about 592.7375152003.

The spelling of 208251072 in words is "two hundred eight million, two hundred fifty-one thousand, seventy-two".