684072 has 32 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 227952.

The previous prime is 684053. The next prime is 684091. The reversal of 684072 is 270486.

It is an interprime number because it is at equal distance from previous prime (684053) and next prime (684091).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368 + ... + 1799.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

2⁶⁸⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

684072 is an abundant number, since it is smaller than the sum of its proper divisors (1216728).

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

684072 is a wasteful number, since it uses less digits than its factorization.

684072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 684072 is about 827.0864525550. The cubic root of 684072 is about 88.1117725733. Note that the first 3 decimals are identical.

The spelling of 684072 in words is "six hundred eighty-four thousand, seventy-two".