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72085685760 = 2932511284429
BaseRepresentation
bin100001100100010100…
…1000100011000000000
320220001202221020212100
41003020221010120000
52140112413421020
653040554230400
75131231135104
oct1031051043000
9226052836770
1072085685760
1128631543710
1211b79425400
136a4a59303a
1436bba17904
151d1d79ba90
hex10c8a44600

72085685760 has 240 divisors, whose sum is σ = 272349689040. Its totient is φ = 17475256320.

The previous prime is 72085685747. The next prime is 72085685809. The reversal of 72085685760 is 6758658027.

72085685760 is a `hidden beast` number, since 7 + 2 + 0 + 8 + 5 + 68 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 72085685697 and 72085685706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111226 + ... + 395654.

It is an arithmetic number, because the mean of its divisors is an integer number (1134790371).

Almost surely, 272085685760 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 72085685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136174844520).

72085685760 is an abundant number, since it is smaller than the sum of its proper divisors (200264003280).

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

72085685760 is a wasteful number, since it uses less digits than its factorization.

72085685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284469 (or 284450 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 72085685760 in words is "seventy-two billion, eighty-five million, six hundred eighty-five thousand, seven hundred sixty".