493272 has 96 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 138240.

The previous prime is 493249. The next prime is 493277. The reversal of 493272 is 272394.

493272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

493272 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15897 + ... + 15927.

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

2⁴⁹³²⁷² 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 493272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

493272 is an abundant number, since it is smaller than the sum of its proper divisors (1079208).

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

493272 is a wasteful number, since it uses less digits than its factorization.

493272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 66 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 493272 is about 702.3332542319. Note that the first 3 decimals coincide. The cubic root of 493272 is about 79.0124426270.

It can be divided in two parts, 49 and 3272, that added together give a triangular number (3321 = T₈₁).

The spelling of 493272 in words is "four hundred ninety-three thousand, two hundred seventy-two".