208525572 has 72 divisors (see below), whose sum is σ = 539262360. Its totient is φ = 67921920.

The previous prime is 208525571. The next prime is 208525601. The reversal of 208525572 is 275525802.

208525572 is a `hidden beast` number, since 2 + 0 + 85 + 2 + 5 + 572 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 198640836 = 3144^2 + 14094^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (208525571) 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 23 ways as a sum of consecutive naturals, for example, 590548 + ... + 590900.

It is an arithmetic number, because the mean of its divisors is an integer number (7489755).

Almost surely, 2^208525572 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 208525572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269631180).

208525572 is an abundant number, since it is smaller than the sum of its proper divisors (330736788).

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

208525572 is a wasteful number, since it uses less digits than its factorization.

208525572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 208525572 is about 14440.4145369861. The cubic root of 208525572 is about 592.9978340065.

The spelling of 208525572 in words is "two hundred eight million, five hundred twenty-five thousand, five hundred seventy-two".