282072000 has 448 divisors, whose sum is σ = 1125955584. Its totient is φ = 60825600.

The previous prime is 282071983. The next prime is 282072059. The reversal of 282072000 is 270282.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×282072000² = 159129226368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3863964 + ... + 3864036.

Almost surely, 2^282072000 is an apocalyptic number.

282072000 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 282072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562977792).

282072000 is an abundant number, since it is smaller than the sum of its proper divisors (843883584).

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

282072000 is a wasteful number, since it uses less digits than its factorization.

282072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 282072000 is about 16794.9992557309. Note that the first 3 decimals coincide. The cubic root of 282072000 is about 655.8230238439.

The spelling of 282072000 in words is "two hundred eighty-two million, seventy-two thousand".