117872400 has 60 divisors (see below), whose sum is σ = 377588432. Its totient is φ = 31432320.

The previous prime is 117872341. The next prime is 117872423. The reversal of 117872400 is 4278711.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47914 + ... + 50313.

Almost surely, 2^117872400 is an apocalyptic number.

117872400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117872400 is an abundant number, since it is smaller than the sum of its proper divisors (259716032).

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

117872400 is a wasteful number, since it uses less digits than its factorization.

117872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98248 (or 98237 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 117872400 is about 10856.9056365062. The cubic root of 117872400 is about 490.3099524456.

The spelling of 117872400 in words is "one hundred seventeen million, eight hundred seventy-two thousand, four hundred".