282552072 has 64 divisors (see below), whose sum is σ = 778152960. Its totient is φ = 84782400.

The previous prime is 282552007. The next prime is 282552103. The reversal of 282552072 is 270255282.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21997 + ... + 32387.

It is an arithmetic number, because the mean of its divisors is an integer number (12158640).

Almost surely, 2^282552072 is an apocalyptic number.

282552072 is a gapful number since it is divisible by the number (22) 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 282552072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389076480).

282552072 is an abundant number, since it is smaller than the sum of its proper divisors (495600888).

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

282552072 is a wasteful number, since it uses less digits than its factorization.

282552072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 282552072 is about 16809.2852911717. The cubic root of 282552072 is about 656.1948719587.

The spelling of 282552072 in words is "two hundred eighty-two million, five hundred fifty-two thousand, seventy-two".