281123072 has 36 divisors (see below), whose sum is σ = 566983116. Its totient is φ = 139100160.

The previous prime is 281123057. The next prime is 281123081. The reversal of 281123072 is 270321182.

It can be written as a sum of positive squares in 2 ways, for example, as 66324736 + 214798336 = 8144^2 + 14656^2 .

It is a super-2 number, since 2×281123072² = 158060363221434368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19172 + ... + 30492.

It is an arithmetic number, because the mean of its divisors is an integer number (15749531).

Almost surely, 2^281123072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283491558).

281123072 is an abundant number, since it is smaller than the sum of its proper divisors (285860044).

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

281123072 is an equidigital number, since it uses as much as digits as its factorization.

281123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 281123072 is about 16766.7251423765. The cubic root of 281123072 is about 655.0867721027.

The spelling of 281123072 in words is "two hundred eighty-one million, one hundred twenty-three thousand, seventy-two".