118072128 has 112 divisors (see below), whose sum is σ = 327208896. Its totient is φ = 37539840.

The previous prime is 118072121. The next prime is 118072139. The reversal of 118072128 is 821270811.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 118072095 and 118072104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118072121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417075 + ... + 417357.

It is an arithmetic number, because the mean of its divisors is an integer number (2921508).

Almost surely, 2^118072128 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 118072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163604448).

118072128 is an abundant number, since it is smaller than the sum of its proper divisors (209136768).

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

118072128 is a wasteful number, since it uses less digits than its factorization.

118072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 118072128 is about 10866.0999443222. The cubic root of 118072128 is about 490.5867301779.

The spelling of 118072128 in words is "one hundred eighteen million, seventy-two thousand, one hundred twenty-eight".