282372720 has 160 divisors (see below), whose sum is σ = 1059360768. Its totient is φ = 60739584.

The previous prime is 282372719. The next prime is 282372733. The reversal of 282372720 is 27273282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23617 + ... + 33503.

Almost surely, 2^282372720 is an apocalyptic number.

282372720 is a gapful number since it is divisible by the number (20) 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 282372720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529680384).

282372720 is an abundant number, since it is smaller than the sum of its proper divisors (776988048).

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

282372720 is a wasteful number, since it uses less digits than its factorization.

282372720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9927 (or 9921 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 282372720 is about 16803.9495357490. The cubic root of 282372720 is about 656.0560010689.

The spelling of 282372720 in words is "two hundred eighty-two million, three hundred seventy-two thousand, seven hundred twenty".