290072160 has 216 divisors, whose sum is σ = 1151762976. Its totient is φ = 66286080.

The previous prime is 290072147. The next prime is 290072161. The reversal of 290072160 is 61270092.

290072160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290072161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68505 + ... + 72615.

It is an arithmetic number, because the mean of its divisors is an integer number (5332236).

Almost surely, 2^290072160 is an apocalyptic number.

290072160 is a gapful number since it is divisible by the number (20) 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 290072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575881488).

290072160 is an abundant number, since it is smaller than the sum of its proper divisors (861690816).

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

290072160 is a wasteful number, since it uses less digits than its factorization.

290072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 290072160 is about 17031.5049246976. The cubic root of 290072160 is about 661.9654907882.

The spelling of 290072160 in words is "two hundred ninety million, seventy-two thousand, one hundred sixty".