208117572 has 96 divisors (see below), whose sum is σ = 546134400. Its totient is φ = 61243392.

The previous prime is 208117541. The next prime is 208117589. The reversal of 208117572 is 275711802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809668 + ... + 809924.

It is an arithmetic number, because the mean of its divisors is an integer number (5688900).

Almost surely, 2^208117572 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 208117572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273067200).

208117572 is an abundant number, since it is smaller than the sum of its proper divisors (338016828).

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

208117572 is a wasteful number, since it uses less digits than its factorization.

208117572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 208117572 is about 14426.2806017352. The cubic root of 208117572 is about 592.6108293807.

The spelling of 208117572 in words is "two hundred eight million, one hundred seventeen thousand, five hundred seventy-two".