283740072 has 128 divisors (see below), whose sum is σ = 931046400. Its totient is φ = 69811200.

The previous prime is 283739999. The next prime is 283740157. The reversal of 283740072 is 270047382.

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 31 ways as a sum of consecutive naturals, for example, 31072 + ... + 39152.

It is an arithmetic number, because the mean of its divisors is an integer number (7273800).

Almost surely, 2^283740072 is an apocalyptic number.

283740072 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 283740072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465523200).

283740072 is an abundant number, since it is smaller than the sum of its proper divisors (647306328).

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

283740072 is a wasteful number, since it uses less digits than its factorization.

283740072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127 (or 8123 counting only the distinct ones).

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

The square root of 283740072 is about 16844.5858364045. The cubic root of 283740072 is about 657.1132507501.

The spelling of 283740072 in words is "two hundred eighty-three million, seven hundred forty thousand, seventy-two".