678272 has 32 divisors (see below), whose sum is σ = 1546320. Its totient is φ = 290304.

The previous prime is 678253. The next prime is 678289. The reversal of 678272 is 272876.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 518 + ... + 1274.

2⁶⁷⁸²⁷² 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 678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773160).

678272 is an abundant number, since it is smaller than the sum of its proper divisors (868048).

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

678272 is an equidigital number, since it uses as much as digits as its factorization.

678272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 766 counting only the distinct ones).

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

The square root of 678272 is about 823.5727047444. The cubic root of 678272 is about 87.8620427913.

The spelling of 678272 in words is "six hundred seventy-eight thousand, two hundred seventy-two".