675072 has 54 divisors (see below), whose sum is σ = 1953042. Its totient is φ = 224256.

The previous prime is 675071. The next prime is 675079. The reversal of 675072 is 270576.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 9216 = 816^2 + 96^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 675072.

It is not an unprimeable number, because it can be changed into a prime (675071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2158 + ... + 2450.

2⁶⁷⁵⁰⁷² 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 675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976521).

675072 is an abundant number, since it is smaller than the sum of its proper divisors (1277970).

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

675072 is a wasteful number, since it uses less digits than its factorization.

675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 675072 is about 821.6276528939. The cubic root of 675072 is about 87.7236509878.

Subtracting from 675072 its reverse (270576), we obtain a square (404496 = 636²).

It can be divided in two parts, 6 and 75072, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 675072 in words is "six hundred seventy-five thousand, seventy-two".