688072 has 32 divisors (see below), whose sum is σ = 1609920. Its totient is φ = 267840.

The previous prime is 688067. The next prime is 688073. The reversal of 688072 is 270886.

It is not an unprimeable number, because it can be changed into a prime (688073) by changing a digit.

688072 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, 58 + ... + 1174.

It is an arithmetic number, because the mean of its divisors is an integer number (50310).

2⁶⁸⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804960).

688072 is an abundant number, since it is smaller than the sum of its proper divisors (921848).

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

688072 is a wasteful number, since it uses less digits than its factorization.

688072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 688072 is about 829.5010548516. The cubic root of 688072 is about 88.2831786798.

Subtracting from 688072 its product of nonzero digits (5376), we obtain a triangular number (682696 = T₁₁₆₈).

The spelling of 688072 in words is "six hundred eighty-eight thousand, seventy-two".