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72243648 = 2632125423
BaseRepresentation
bin1000100111001…
…01100111000000
312000221100122200
410103211213000
5121443244043
611100233200
71535026611
oct423454700
9160840580
1072243648
11378637a4
122023b800
1311c75b29
149847c08
1565207d3
hex44e59c0

72243648 has 42 divisors (see below), whose sum is σ = 207075024. Its totient is φ = 24081024.

The previous prime is 72243641. The next prime is 72243673. The reversal of 72243648 is 84634227.

72243648 is a `hidden beast` number, since 7 + 2 + 2 + 4 + 3 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72243641) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 62136 + ... + 63287.

Almost surely, 272243648 is an apocalyptic number.

It is an amenable number.

72243648 is an abundant number, since it is smaller than the sum of its proper divisors (134831376).

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

72243648 is a wasteful number, since it uses less digits than its factorization.

72243648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125441 (or 125428 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72243648 is about 8499.6263447283. The cubic root of 72243648 is about 416.4855031807.

The spelling of 72243648 in words is "seventy-two million, two hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 125423 250846 376269 501692 752538 1003384 1128807 1505076 2006768 2257614 3010152 4013536 4515228 6020304 8027072 9030456 12040608 18060912 24081216 36121824 72243648