290772 has 36 divisors (see below), whose sum is σ = 756756. Its totient is φ = 94080.

The previous prime is 290767. The next prime is 290791. The reversal of 290772 is 277092.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 133956 = 396^2 + 366^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

290772 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1378 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (21021).

2²⁹⁰⁷⁷² 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 290772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378378).

290772 is an abundant number, since it is smaller than the sum of its proper divisors (465984).

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

290772 is a wasteful number, since it uses less digits than its factorization.

290772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 290772 is about 539.2327883206. The cubic root of 290772 is about 66.2497424934.

The spelling of 290772 in words is "two hundred ninety thousand, seven hundred seventy-two".