120672 has 36 divisors (see below), whose sum is σ = 343980. Its totient is φ = 40128.

The previous prime is 120671. The next prime is 120677. The reversal of 120672 is 276021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2¹²⁰⁶⁷² is an apocalyptic number.

120672 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 120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990).

120672 is an abundant number, since it is smaller than the sum of its proper divisors (223308).

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

120672 is a wasteful number, since it uses less digits than its factorization.

120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

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

The square root of 120672 is about 347.3787558271. The cubic root of 120672 is about 49.4161420692.

Adding to 120672 its reverse (276021), we get a palindrome (396693).

The spelling of 120672 in words is "one hundred twenty thousand, six hundred seventy-two".