208084772 has 72 divisors (see below), whose sum is σ = 456583680. Its totient is φ = 82494720.

The previous prime is 208084769. The next prime is 208084787. The reversal of 208084772 is 277480802.

208084772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139004 + ... + 140492.

It is an arithmetic number, because the mean of its divisors is an integer number (6341440).

Almost surely, 2^208084772 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 208084772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228291840).

208084772 is an abundant number, since it is smaller than the sum of its proper divisors (248498908).

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

208084772 is a wasteful number, since it uses less digits than its factorization.

208084772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 208084772 is about 14425.1437427847. The cubic root of 208084772 is about 592.5796952862.

The spelling of 208084772 in words is "two hundred eight million, eighty-four thousand, seven hundred seventy-two".