117961272 has 320 divisors, whose sum is σ = 414691200. Its totient is φ = 30792960.

The previous prime is 117961219. The next prime is 117961279. The reversal of 117961272 is 272169711.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117961279) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1760583 + ... + 1760649.

It is an arithmetic number, because the mean of its divisors is an integer number (1295910).

Almost surely, 2^117961272 is an apocalyptic number.

117961272 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 117961272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207345600).

117961272 is an abundant number, since it is smaller than the sum of its proper divisors (296729928).

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

117961272 is a wasteful number, since it uses less digits than its factorization.

117961272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 117961272 is about 10860.9977442222. The cubic root of 117961272 is about 490.4331474693.

The spelling of 117961272 in words is "one hundred seventeen million, nine hundred sixty-one thousand, two hundred seventy-two".