117567072 has 144 divisors (see below), whose sum is σ = 399031920. Its totient is φ = 33578496.

The previous prime is 117567067. The next prime is 117567077. The reversal of 117567072 is 270765711.

It is an interprime number because it is at equal distance from previous prime (117567067) and next prime (117567077).

It is a tau number, because it is divible by the number of its divisors (144).

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 (117567077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40948 + ... + 43724.

It is an arithmetic number, because the mean of its divisors is an integer number (2771055).

Almost surely, 2^117567072 is an apocalyptic number.

117567072 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 117567072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199515960).

117567072 is an abundant number, since it is smaller than the sum of its proper divisors (281464848).

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

117567072 is a wasteful number, since it uses less digits than its factorization.

117567072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 117567072 is about 10842.8350536195. The cubic root of 117567072 is about 489.8862320909.

The spelling of 117567072 in words is "one hundred seventeen million, five hundred sixty-seven thousand, seventy-two".