117005672 has 64 divisors (see below), whose sum is σ = 256746240. Its totient is φ = 48960000.

The previous prime is 117005653. The next prime is 117005683. The reversal of 117005672 is 276500711.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774797 + ... + 774947.

It is an arithmetic number, because the mean of its divisors is an integer number (4011660).

Almost surely, 2^117005672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117005672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128373120).

117005672 is an abundant number, since it is smaller than the sum of its proper divisors (139740568).

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

117005672 is a wasteful number, since it uses less digits than its factorization.

117005672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 117005672 is about 10816.9160115072. The cubic root of 117005672 is about 489.1052281130.

The spelling of 117005672 in words is "one hundred seventeen million, five thousand, six hundred seventy-two".