208387872 has 144 divisors (see below), whose sum is σ = 738908352. Its totient is φ = 54120960.

The previous prime is 208387841. The next prime is 208387873. The reversal of 208387872 is 278783802.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (208387873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17478 + ... + 26874.

It is an arithmetic number, because the mean of its divisors is an integer number (5131308).

Almost surely, 2^208387872 is an apocalyptic number.

208387872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369454176).

208387872 is an abundant number, since it is smaller than the sum of its proper divisors (530520480).

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

208387872 is a wasteful number, since it uses less digits than its factorization.

208387872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9431 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 208387872 is about 14435.6458809435. The cubic root of 208387872 is about 592.8672764265.

The spelling of 208387872 in words is "two hundred eight million, three hundred eighty-seven thousand, eight hundred seventy-two".