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72250529472 = 26331129131071
BaseRepresentation
bin100001101001001110…
…1111001011011000000
320220111021010011221000
41003102131321123000
52140432113420342
653105203332000
75135302240032
oct1032235713300
9226437104830
1072250529472
11287065a4190
1212004681000
136a7578b3b4
1436d5887c52
151d2ceae44c
hex10d27796c0

72250529472 has 224 divisors, whose sum is σ = 239704473600. Its totient is φ = 21138969600.

The previous prime is 72250529459. The next prime is 72250529503. The reversal of 72250529472 is 27492505227.

72250529472 is a `hidden beast` number, since 7 + 2 + 2 + 50 + 529 + 4 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485697 + ... + 616767.

Almost surely, 272250529472 is an apocalyptic number.

72250529472 is a gapful number since it is divisible by the number (72) 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 72250529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119852236800).

72250529472 is an abundant number, since it is smaller than the sum of its proper divisors (167453944128).

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

72250529472 is a wasteful number, since it uses less digits than its factorization.

72250529472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131132 (or 131116 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 72250529472 in words is "seventy-two billion, two hundred fifty million, five hundred twenty-nine thousand, four hundred seventy-two".