495072 has 60 divisors (see below), whose sum is σ = 1463616. Its totient is φ = 164160.

The previous prime is 495071. The next prime is 495109. The reversal of 495072 is 270594.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495071) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2497 + ... + 2687.

2⁴⁹⁵⁰⁷² 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 495072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731808).

495072 is an abundant number, since it is smaller than the sum of its proper divisors (968544).

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

495072 is a wasteful number, since it uses less digits than its factorization.

495072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 495072 is about 703.6135302849. The cubic root of 495072 is about 79.1084341232.

495072 divided by its sum of digits (27) gives a triangular number (18336 = T₁₉₁).

The spelling of 495072 in words is "four hundred ninety-five thousand, seventy-two".