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72565549056 = 21134711131923
BaseRepresentation
bin100001110010100111…
…1100110100000000000
320221022012212211120000
41003211033212200000
52142103240032211
653200335320000
75146145663340
oct1034517464000
9227265784500
1072565549056
11288583a7050
1212092080000
136ac5b17710
14372564ad20
151d4a988656
hex10e53e6800

72565549056 has 1920 divisors, whose sum is σ = 319653734400. Its totient is φ = 15765995520.

The previous prime is 72565549051. The next prime is 72565549061. The reversal of 72565549056 is 65094556527.

72565549056 is a `hidden beast` number, since 7 + 2 + 56 + 55 + 490 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (72565549051) and next prime (72565549061).

It is a super-2 number, since 2×725655490562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72565548993 and 72565549011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72565549051) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3155023861 + ... + 3155023883.

It is an arithmetic number, because the mean of its divisors is an integer number (166486320).

Almost surely, 272565549056 is an apocalyptic number.

72565549056 is a gapful number since it is divisible by the number (76) 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 72565549056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159826867200).

72565549056 is an abundant number, since it is smaller than the sum of its proper divisors (247088185344).

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

72565549056 is a wasteful number, since it uses less digits than its factorization.

72565549056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 72565549056 in words is "seventy-two billion, five hundred sixty-five million, five hundred forty-nine thousand, fifty-six".