118072800 has 324 divisors, whose sum is σ = 449283744. Its totient is φ = 29145600.

The previous prime is 118072793. The next prime is 118072807. The reversal of 118072800 is 8270811.

It is an interprime number because it is at equal distance from previous prime (118072793) and next prime (118072807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118072807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3808785 + ... + 3808815.

Almost surely, 2^118072800 is an apocalyptic number.

118072800 is a gapful number since it is divisible by the number (10) 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 118072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224641872).

118072800 is an abundant number, since it is smaller than the sum of its proper divisors (331210944).

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

118072800 is a wasteful number, since it uses less digits than its factorization.

118072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 118072800 is about 10866.1308661363. The cubic root of 118072800 is about 490.5876608905.

The spelling of 118072800 in words is "one hundred eighteen million, seventy-two thousand, eight hundred".