291072 has 36 divisors (see below), whose sum is σ = 776720. Its totient is φ = 96768.

The previous prime is 291043. The next prime is 291077. The reversal of 291072 is 270192.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (291077) by changing a digit.

291072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 579 + ... + 957.

2²⁹¹⁰⁷² 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 291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388360).

291072 is an abundant number, since it is smaller than the sum of its proper divisors (485648).

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

291072 is an equidigital number, since it uses as much as digits as its factorization.

291072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 291072 is about 539.5108896028. The cubic root of 291072 is about 66.2725187481.

The spelling of 291072 in words is "two hundred ninety-one thousand, seventy-two".