288369072 has 180 divisors, whose sum is σ = 871282776. Its totient is φ = 92378880.

The previous prime is 288369071. The next prime is 288369089. The reversal of 288369072 is 270963882.

288369072 is a `hidden beast` number, since 288 + 369 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×288369072² = 166313443372282368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288369071) 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, 4303983 + ... + 4304049.

Almost surely, 2^288369072 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 288369072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435641388).

288369072 is an abundant number, since it is smaller than the sum of its proper divisors (582913704).

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

288369072 is an frugal number, since it uses more digits than its factorization.

288369072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 288369072 is about 16981.4331550667. The cubic root of 288369072 is about 660.6674240145.

The spelling of 288369072 in words is "two hundred eighty-eight million, three hundred sixty-nine thousand, seventy-two".