120072007 has 8 divisors (see below), whose sum is σ = 131068800. Its totient is φ = 109088760.

The previous prime is 120071989. The next prime is 120072011. The reversal of 120072007 is 700270021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 120072007 - 2¹⁵ = 120039239 is a prime.

It is a super-3 number, since 3×120072007³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120072307) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27244 + ... + 31342.

It is an arithmetic number, because the mean of its divisors is an integer number (16383600).

Almost surely, 2^120072007 is an apocalyptic number.

120072007 is a deficient number, since it is larger than the sum of its proper divisors (10996793).

120072007 is a wasteful number, since it uses less digits than its factorization.

120072007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773.

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 120072007 is about 10957.7373120549. The cubic root of 120072007 is about 493.3410532129.

The spelling of 120072007 in words is "one hundred twenty million, seventy-two thousand, seven".