331272 has 48 divisors (see below), whose sum is σ = 926640. Its totient is φ = 106848.

The previous prime is 331259. The next prime is 331277. The reversal of 331272 is 272133.

It is a super-2 number, since 2×331272² = 219482275968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (331277) 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, 3043 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

2³³¹²⁷² 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 331272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463320).

331272 is an abundant number, since it is smaller than the sum of its proper divisors (595368).

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

331272 is a wasteful number, since it uses less digits than its factorization.

331272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 331272 is about 575.5623337224. The cubic root of 331272 is about 69.1929069322.

The spelling of 331272 in words is "three hundred thirty-one thousand, two hundred seventy-two".