117228672 has 216 divisors, whose sum is σ = 384019545. Its totient is φ = 34298880.

The previous prime is 117228637. The next prime is 117228673. The reversal of 117228672 is 276822711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 117158976 + 69696 = 10824^2 + 264^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7656.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117228673) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4042354 + ... + 4042382.

Almost surely, 2^117228672 is an apocalyptic number.

117228672 is a gapful number since it is divisible by the number (12) 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 117228672

117228672 is an abundant number, since it is smaller than the sum of its proper divisors (266790873).

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

117228672 is a wasteful number, since it uses less digits than its factorization.

117228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 45 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 117228672 is about 10827.2190335284. The cubic root of 117228672 is about 489.4157579222.

The spelling of 117228672 in words is "one hundred seventeen million, two hundred twenty-eight thousand, six hundred seventy-two".