208149972 has 96 divisors (see below), whose sum is σ = 530667648. Its totient is φ = 63258624.

The previous prime is 208149947. The next prime is 208150001. The reversal of 208149972 is 279941802.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1325718 + ... + 1325874.

It is an arithmetic number, because the mean of its divisors is an integer number (5527788).

Almost surely, 2^208149972 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 208149972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265333824).

208149972 is an abundant number, since it is smaller than the sum of its proper divisors (322517676).

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

208149972 is a wasteful number, since it uses less digits than its factorization.

208149972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 208149972 is about 14427.4035086013. The cubic root of 208149972 is about 592.6415805796.

The spelling of 208149972 in words is "two hundred eight million, one hundred forty-nine thousand, nine hundred seventy-two".