117007200 has 144 divisors (see below), whose sum is σ = 423254160. Its totient is φ = 31196160.

The previous prime is 117007183. The next prime is 117007201. The reversal of 117007200 is 2700711.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117007201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18892 + ... + 24308.

It is an arithmetic number, because the mean of its divisors is an integer number (2939265).

Almost surely, 2^117007200 is an apocalyptic number.

117007200 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 117007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211627080).

117007200 is an abundant number, since it is smaller than the sum of its proper divisors (306246960).

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

117007200 is a wasteful number, since it uses less digits than its factorization.

117007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 117007200 is about 10816.9866413896. The cubic root of 117007200 is about 489.1073572107.

Adding to 117007200 its reverse (2700711), we get a palindrome (119707911).

The spelling of 117007200 in words is "one hundred seventeen million, seven thousand, two hundred".