492072 has 64 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 134400.

The previous prime is 492067. The next prime is 492077. The reversal of 492072 is 270294.

It is an interprime number because it is at equal distance from previous prime (492067) and next prime (492077).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (492077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4822 + ... + 4922.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2⁴⁹²⁰⁷² is an apocalyptic number.

492072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

492072 is an abundant number, since it is smaller than the sum of its proper divisors (976728).

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

492072 is a wasteful number, since it uses less digits than its factorization.

492072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 492072 is about 701.4784387278. The cubic root of 492072 is about 78.9483184915.

492072 divided by its sum of digits (24) gives a triangular number (20503 = T₂₀₂).

The spelling of 492072 in words is "four hundred ninety-two thousand, seventy-two".