120072006 has 96 divisors (see below), whose sum is σ = 286752960. Its totient is φ = 36191232.

The previous prime is 120071989. The next prime is 120072011. The reversal of 120072006 is 600270021.

It is a happy number.

It is a super-3 number, since 3×120072006³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 120072006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876370 + ... + 876506.

It is an arithmetic number, because the mean of its divisors is an integer number (2987010).

Almost surely, 2^120072006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120072006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143376480).

120072006 is an abundant number, since it is smaller than the sum of its proper divisors (166680954).

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

120072006 is a wasteful number, since it uses less digits than its factorization.

120072006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 120072006 is about 10957.7372664250. The cubic root of 120072006 is about 493.3410518434.

The spelling of 120072006 in words is "one hundred twenty million, seventy-two thousand, six".