290167272 has 96 divisors (see below), whose sum is σ = 843242400. Its totient is φ = 93369024.

The previous prime is 290167261. The next prime is 290167277. The reversal of 290167272 is 272761092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (290167277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53803 + ... + 58949.

It is an arithmetic number, because the mean of its divisors is an integer number (8783775).

Almost surely, 2^290167272 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 290167272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421621200).

290167272 is an abundant number, since it is smaller than the sum of its proper divisors (553075128).

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

290167272 is a wasteful number, since it uses less digits than its factorization.

290167272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 290167272 is about 17034.2969329526. The cubic root of 290167272 is about 662.0378336857.

The spelling of 290167272 in words is "two hundred ninety million, one hundred sixty-seven thousand, two hundred seventy-two".