120072 has 16 divisors (see below), whose sum is σ = 300240. Its totient is φ = 40016.

The previous prime is 120067. The next prime is 120077. The reversal of 120072 is 270021.

It is an interprime number because it is at equal distance from previous prime (120067) and next prime (120077).

It is a super-3 number, since 3×120072³ = 5193336799839744, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (120077) by changing a digit.

120072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2478 + ... + 2525.

It is an arithmetic number, because the mean of its divisors is an integer number (18765).

2¹²⁰⁰⁷² is an apocalyptic number.

120072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120072 is an abundant number, since it is smaller than the sum of its proper divisors (180168).

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

120072 is a wasteful number, since it uses less digits than its factorization.

120072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 120072 is about 346.5140689784. The cubic root of 120072 is about 49.3341043626.

Adding to 120072 its reverse (270021), we get a palindrome (390093).

The spelling of 120072 in words is "one hundred twenty thousand, seventy-two", and thus it is an iban number.