117072240 has 80 divisors (see below), whose sum is σ = 363967776. Its totient is φ = 31129600.

The previous prime is 117072239. The next prime is 117072269. The reversal of 117072240 is 42270711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 117072240.

It is a congruent number.

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, 153460 + ... + 154220.

Almost surely, 2^117072240 is an apocalyptic number.

117072240 is a gapful number since it is divisible by the number (10) 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 117072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181983888).

117072240 is an abundant number, since it is smaller than the sum of its proper divisors (246895536).

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

117072240 is a wasteful number, since it uses less digits than its factorization.

117072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 117072240 is about 10819.9926062821. The cubic root of 117072240 is about 489.1979660224.

The spelling of 117072240 in words is "one hundred seventeen million, seventy-two thousand, two hundred forty".