208115072 has 64 divisors (see below), whose sum is σ = 458265600. Its totient is φ = 93350400.

The previous prime is 208115041. The next prime is 208115093. The reversal of 208115072 is 270511802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110297 + ... + 112167.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2^208115072 is an apocalyptic number.

208115072 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 208115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

208115072 is an abundant number, since it is smaller than the sum of its proper divisors (250150528).

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

208115072 is a wasteful number, since it uses less digits than its factorization.

208115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 208115072 is about 14426.1939540545. The cubic root of 208115072 is about 592.6084564704.

Adding to 208115072 its reverse (270511802), we get a palindrome (478626874).

The spelling of 208115072 in words is "two hundred eight million, one hundred fifteen thousand, seventy-two".