675972 has 48 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 204480.

The previous prime is 675959. The next prime is 675973. The reversal of 675972 is 279576.

675972 is a `hidden beast` number, since 67 + 597 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (675973) by changing a digit.

675972 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 15 ways as a sum of consecutive naturals, for example, 904 + ... + 1472.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2⁶⁷⁵⁹⁷² 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 675972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957600).

675972 is an abundant number, since it is smaller than the sum of its proper divisors (1239228).

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

675972 is a wasteful number, since it uses less digits than its factorization.

675972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 675972 is about 822.1751638185. The cubic root of 675972 is about 87.7626178072.

It can be divided in two parts, 675 and 972, that multiplied together give a square (656100 = 810²).

The spelling of 675972 in words is "six hundred seventy-five thousand, nine hundred seventy-two".