117072648 has 128 divisors (see below), whose sum is σ = 405504000. Its totient is φ = 30404160.

The previous prime is 117072619. The next prime is 117072653. The reversal of 117072648 is 846270711.

117072648 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 7 + 2 + 648 = 666.

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

It is an unprimeable number.

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, 13113 + ... + 20151.

It is an arithmetic number, because the mean of its divisors is an integer number (3168000).

Almost surely, 2^117072648 is an apocalyptic number.

117072648 is a gapful number since it is divisible by the number (18) 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 117072648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202752000).

117072648 is an abundant number, since it is smaller than the sum of its proper divisors (288431352).

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

117072648 is a wasteful number, since it uses less digits than its factorization.

117072648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7062 counting only the distinct ones).

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

The square root of 117072648 is about 10820.0114602527. The cubic root of 117072648 is about 489.1985343112.

The spelling of 117072648 in words is "one hundred seventeen million, seventy-two thousand, six hundred forty-eight".