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BaseRepresentation
bin100001110111000100…
…1111101011100100000
320221200122020001001000
41003232021331130200
52142410024040440
653223240112000
75152642566255
oct1035611753440
9227618201030
1072715065120
1128924838745
1212114165600
136b1aaa7269
14373b44b42c
151d58b6e730
hex10ee27d720

72715065120 has 192 divisors, whose sum is σ = 254702448000. Its totient is φ = 19375469568.

The previous prime is 72715065109. The next prime is 72715065121. The reversal of 72715065120 is 2156051727.

72715065120 is a `hidden beast` number, since 7 + 27 + 1 + 506 + 5 + 120 = 666.

It is a super-2 number, since 2×727150651202 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72715065121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6167391 + ... + 6179169.

It is an arithmetic number, because the mean of its divisors is an integer number (1326575250).

Almost surely, 272715065120 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 72715065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127351224000).

72715065120 is an abundant number, since it is smaller than the sum of its proper divisors (181987382880).

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

72715065120 is a wasteful number, since it uses less digits than its factorization.

72715065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13232 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 72715065120 in words is "seventy-two billion, seven hundred fifteen million, sixty-five thousand, one hundred twenty".