680072072 has 8 divisors (see below), whose sum is σ = 1275135150. Its totient is φ = 340036032.

The previous prime is 680072039. The next prime is 680072077. The reversal of 680072072 is 270270086.

It can be written as a sum of positive squares in only one way, i.e., 670499236 + 9572836 = 25894^2 + 3094^2 .

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

It is a super-2 number, since 2×680072072² = 924996046228746368, which contains 22 as substring.

680072072 is a modest number, since divided by 72072 gives 680 as remainder.

It is not an unprimeable number, because it can be changed into a prime (680072077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42504497 + ... + 42504512.

Almost surely, 2^680072072 is an apocalyptic number.

It is an amenable number.

680072072 is a deficient number, since it is larger than the sum of its proper divisors (595063078).

680072072 is a wasteful number, since it uses less digits than its factorization.

680072072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85009015 (or 85009011 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 680072072 is about 26078.1915017127. The cubic root of 680072072 is about 879.3970008153.

The spelling of 680072072 in words is "six hundred eighty million, seventy-two thousand, seventy-two".