680072 has 8 divisors (see below), whose sum is σ = 1275150. Its totient is φ = 340032.

The previous prime is 680059. The next prime is 680077. The reversal of 680072 is 270086.

It can be written as a sum of positive squares in only one way, i.e., 568516 + 111556 = 754^2 + 334^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (680077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42497 + ... + 42512.

2⁶⁸⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

680072 is a deficient number, since it is larger than the sum of its proper divisors (595078).

680072 is a wasteful number, since it uses less digits than its factorization.

680072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85015 (or 85011 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 680072 is about 824.6647803805. The cubic root of 680072 is about 87.9396969781.

The spelling of 680072 in words is "six hundred eighty thousand, seventy-two".