678072 has 32 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 213984.

The previous prime is 678061. The next prime is 678077. The reversal of 678072 is 270876.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 678072.

It is not an unprimeable number, because it can be changed into a prime (678077) by changing a digit.

678072 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 7 ways as a sum of consecutive naturals, for example, 288 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

2⁶⁷⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

678072 is an abundant number, since it is smaller than the sum of its proper divisors (1107528).

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

678072 is a wasteful number, since it uses less digits than its factorization.

678072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1511 counting only the distinct ones).

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

The square root of 678072 is about 823.4512736040. The cubic root of 678072 is about 87.8534060713.

The spelling of 678072 in words is "six hundred seventy-eight thousand, seventy-two".