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72111530432 = 2673137112663
BaseRepresentation
bin100001100101000101…
…1101010000111000000
320220010120120022002102
41003022023222013000
52140141022433212
653043320205532
75131663616024
oct1031213520700
9226116508072
1072111530432
1128645096147
1211b860098a8
136a52a41846
1436c1224384
151d20ba45c2
hex10ca2ea1c0

72111530432 has 56 divisors (see below), whose sum is σ = 146116645536. Its totient is φ = 35301961728.

The previous prime is 72111530423. The next prime is 72111530437. The reversal of 72111530432 is 23403511127.

It is a junction number, because it is equal to n+sod(n) for n = 72111530395 and 72111530404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72111530437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583733 + ... + 696395.

Almost surely, 272111530432 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 72111530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73058322768).

72111530432 is an abundant number, since it is smaller than the sum of its proper divisors (74005115104).

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

72111530432 is a wasteful number, since it uses less digits than its factorization.

72111530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112885 (or 112875 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 72111530432 in words is "seventy-two billion, one hundred eleven million, five hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 73 137 146 274 292 548 584 1096 1168 2192 2336 4384 4672 8768 10001 20002 40004 80008 112663 160016 225326 320032 450652 640064 901304 1802608 3605216 7210432 8224399 15434831 16448798 30869662 32897596 61739324 65795192 123478648 131590384 246957296 263180768 493914592 526361536 987829184 1126742663 2253485326 4506970652 9013941304 18027882608 36055765216 72111530432