117953472 has 224 divisors, whose sum is σ = 395540992. Its totient is φ = 30191616.

The previous prime is 117953441. The next prime is 117953477. The reversal of 117953472 is 274359711.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 117953472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117953477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751218 + ... + 751374.

It is an arithmetic number, because the mean of its divisors is an integer number (1765808).

Almost surely, 2^117953472 is an apocalyptic number.

117953472 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 117953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197770496).

117953472 is an abundant number, since it is smaller than the sum of its proper divisors (277587520).

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

117953472 is a wasteful number, since it uses less digits than its factorization.

117953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 117953472 is about 10860.6386552541. The cubic root of 117953472 is about 490.4223375292.

The spelling of 117953472 in words is "one hundred seventeen million, nine hundred fifty-three thousand, four hundred seventy-two".