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72195337368 = 233372112921383
BaseRepresentation
bin100001100111100101…
…1010110110010011000
320220100102021010121000
41003033023112302120
52140324001243433
653055512345000
75134032146100
oct1031713266230
9226312233530
1072195337368
1128688427580
1211baa0a5160
136a6720594b
1436cc3dc200
151d2820b113
hex10cf2d6c98

72195337368 has 384 divisors, whose sum is σ = 263279808000. Its totient is φ = 18104567040.

The previous prime is 72195337337. The next prime is 72195337373. The reversal of 72195337368 is 86373359127.

72195337368 is a `hidden beast` number, since 7 + 219 + 53 + 373 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3365605 + ... + 3386987.

It is an arithmetic number, because the mean of its divisors is an integer number (685624500).

Almost surely, 272195337368 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 72195337368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131639904000).

72195337368 is an abundant number, since it is smaller than the sum of its proper divisors (191084470632).

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

72195337368 is a wasteful number, since it uses less digits than its factorization.

72195337368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21452 (or 21435 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 72195337368 in words is "seventy-two billion, one hundred ninety-five million, three hundred thirty-seven thousand, three hundred sixty-eight".