672072 has 32 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 218240.

The previous prime is 672059. The next prime is 672073. The reversal of 672072 is 270276.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (672073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

2⁶⁷²⁰⁷² 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 672072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

672072 is an abundant number, since it is smaller than the sum of its proper divisors (1051608).

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

672072 is a wasteful number, since it uses less digits than its factorization.

672072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 672072 is about 819.7999756038. The cubic root of 672072 is about 87.5935109140.

The spelling of 672072 in words is "six hundred seventy-two thousand, seventy-two".