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9072144 = 24322512
BaseRepresentation
bin100010100110…
…111000010000
3122001220122100
4202212320100
54310302034
6522240400
7140053254
oct42467020
918056570
109072144
115137044
123056100
131b58443
1412c2264
15be3099
hex8a6e10

9072144 has 45 divisors (see below), whose sum is σ = 25490959. Its totient is φ = 3012000.

The previous prime is 9072127. The next prime is 9072191. The reversal of 9072144 is 4412709.

It is a happy number.

The square root of 9072144 is 3012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36019 + ... + 36269.

Almost surely, 29072144 is an apocalyptic number.

9072144 is the 3012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072144

9072144 is an abundant number, since it is smaller than the sum of its proper divisors (16418815).

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

9072144 is a wasteful number, since it uses less digits than its factorization.

9072144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The cubic root of 9072144 is about 208.5627021879.

It can be divided in two parts, 9072 and 144, that added together give a square (9216 = 962).

The spelling of 9072144 in words is "nine million, seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 502 753 1004 1506 2008 2259 3012 4016 4518 6024 9036 12048 18072 36144 63001 126002 189003 252004 378006 504008 567009 756012 1008016 1134018 1512024 2268036 3024048 4536072 9072144