631272 has 32 divisors (see below), whose sum is σ = 1634400. Its totient is φ = 202944.

The previous prime is 631271. The next prime is 631273. The reversal of 631272 is 272136.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (631271) and next prime (631273).

It is not an unprimeable number, because it can be changed into a prime (631271) 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, 243 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (51075).

2⁶³¹²⁷² 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 631272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817200).

631272 is an abundant number, since it is smaller than the sum of its proper divisors (1003128).

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

631272 is a wasteful number, since it uses less digits than its factorization.

631272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 941 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 631272 is about 794.5262739520. The cubic root of 631272 is about 85.7838451227.

It can be divided in two parts, 631 and 272, that added together give a triangular number (903 = T₄₂).

The spelling of 631272 in words is "six hundred thirty-one thousand, two hundred seventy-two".