207972 has 36 divisors (see below), whose sum is σ = 540540. Its totient is φ = 67392.

The previous prime is 207971. The next prime is 207973. The reversal of 207972 is 279702.

It is an interprime number because it is at equal distance from previous prime (207971) and next prime (207973).

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 60516 = 384^2 + 246^2 .

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

It is not an unprimeable number, because it can be changed into a prime (207971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1854 + ... + 1962.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2²⁰⁷⁹⁷² 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 207972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270270).

207972 is an abundant number, since it is smaller than the sum of its proper divisors (332568).

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

207972 is a wasteful number, since it uses less digits than its factorization.

207972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 207972 is about 456.0394719758. The cubic root of 207972 is about 59.2472625985.

The spelling of 207972 in words is "two hundred seven thousand, nine hundred seventy-two".