120711072 has 48 divisors (see below), whose sum is σ = 318663072. Its totient is φ = 40008960.

The previous prime is 120711053. The next prime is 120711077. The reversal of 120711072 is 270117021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (120711077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13903 + ... + 20849.

It is an arithmetic number, because the mean of its divisors is an integer number (6638814).

Almost surely, 2^120711072 is an apocalyptic number.

120711072 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 120711072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159331536).

120711072 is an abundant number, since it is smaller than the sum of its proper divisors (197952000).

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

120711072 is a wasteful number, since it uses less digits than its factorization.

120711072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 120711072 is about 10986.8590598041. The cubic root of 120711072 is about 494.2147492506.

Adding to 120711072 its reverse (270117021), we get a palindrome (390828093).

The spelling of 120711072 in words is "one hundred twenty million, seven hundred eleven thousand, seventy-two".