117672 has 16 divisors (see below), whose sum is σ = 294240. Its totient is φ = 39216.

The previous prime is 117671. The next prime is 117673. The reversal of 117672 is 276711.

It is an interprime number because it is at equal distance from previous prime (117671) and next prime (117673).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4903 = 117672 / (1 + 1 + 7 + 6 + 7 + 2).

It is a d-powerful number, because it can be written as 1 + 1 + 6 + 7 + 7⁶ + 2³ .

It is not an unprimeable number, because it can be changed into a prime (117671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2428 + ... + 2475.

It is an arithmetic number, because the mean of its divisors is an integer number (18390).

2¹¹⁷⁶⁷² is an apocalyptic number.

117672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117672 is an abundant number, since it is smaller than the sum of its proper divisors (176568).

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

117672 is a wasteful number, since it uses less digits than its factorization.

117672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4908 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 117672 is about 343.0335260583. The cubic root of 117672 is about 49.0031929059.

The spelling of 117672 in words is "one hundred seventeen thousand, six hundred seventy-two".