687072 has 48 divisors (see below), whose sum is σ = 1914192. Its totient is φ = 215040.

The previous prime is 687061. The next prime is 687073. The reversal of 687072 is 270786.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1422 + ... + 1842.

It is an arithmetic number, because the mean of its divisors is an integer number (39879).

2⁶⁸⁷⁰⁷² 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 687072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957096).

687072 is an abundant number, since it is smaller than the sum of its proper divisors (1227120).

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

687072 is a wasteful number, since it uses less digits than its factorization.

687072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

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

The square root of 687072 is about 828.8980636966. The cubic root of 687072 is about 88.2403895619.

It can be divided in two parts, 68 and 7072, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 687072 in words is "six hundred eighty-seven thousand, seventy-two".