207072 has 36 divisors (see below), whose sum is σ = 589680. Its totient is φ = 68928.

The previous prime is 207061. The next prime is 207073. The reversal of 207072 is 270702.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207073) by changing a digit.

207072 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 72 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²⁰⁷⁰⁷² 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 207072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

207072 is an abundant number, since it is smaller than the sum of its proper divisors (382608).

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

207072 is a wasteful number, since it uses less digits than its factorization.

207072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 207072 is about 455.0516454206. The cubic root of 207072 is about 59.1616747315.

Adding to 207072 its reverse (270702), we get a palindrome (477774).

It can be divided in two parts, 20707 and 2, that multiplied together give a palindrome (41414).

The spelling of 207072 in words is "two hundred seven thousand, seventy-two", and thus it is an iban number.