207872128 has 32 divisors (see below), whose sum is σ = 418167360. Its totient is φ = 102920448.

The previous prime is 207872113. The next prime is 207872131. The reversal of 207872128 is 821278702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5301 + ... + 21067.

It is an arithmetic number, because the mean of its divisors is an integer number (13067730).

Almost surely, 2^207872128 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 207872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209083680).

207872128 is an abundant number, since it is smaller than the sum of its proper divisors (210295232).

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

207872128 is a wasteful number, since it uses less digits than its factorization.

207872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15884 (or 15872 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 207872128 is about 14417.7712563350. The cubic root of 207872128 is about 592.3777720299.

The spelling of 207872128 in words is "two hundred seven million, eight hundred seventy-two thousand, one hundred twenty-eight".