120772 has 12 divisors (see below), whose sum is σ = 214060. Its totient is φ = 59616.

The previous prime is 120767. The next prime is 120779. The reversal of 120772 is 277021.

It can be written as a sum of positive squares in 2 ways, for example, as 51076 + 69696 = 226^2 + 264^2 .

It is not an unprimeable number, because it can be changed into a prime (120779) by changing a digit.

120772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298 + ... + 574.

2¹²⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

120772 is a deficient number, since it is larger than the sum of its proper divisors (93288).

120772 is a wasteful number, since it uses less digits than its factorization.

120772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

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

The square root of 120772 is about 347.5226611316. The cubic root of 120772 is about 49.4297885649.

Adding to 120772 its reverse (277021), we get a palindrome (397793).

The spelling of 120772 in words is "one hundred twenty thousand, seven hundred seventy-two", and thus it is an iban number.