768072 has 16 divisors (see below), whose sum is σ = 1920240. Its totient is φ = 256016.

The previous prime is 768059. The next prime is 768073. The reversal of 768072 is 270867.

It is not an unprimeable number, because it can be changed into a prime (768073) by changing a digit.

768072 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, 15978 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (120015).

2⁷⁶⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

768072 is an abundant number, since it is smaller than the sum of its proper divisors (1152168).

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

768072 is a wasteful number, since it uses less digits than its factorization.

768072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32012 (or 32008 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 768072 is about 876.3971702373. The cubic root of 768072 is about 91.5800011004.

The spelling of 768072 in words is "seven hundred sixty-eight thousand, seventy-two".