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72858007215 = 32571193193877
BaseRepresentation
bin100001111011010101…
…1001111011010101111
320222001121012020201200
41003312223033122233
52143203122212330
653245343540543
75156326562130
oct1036653173257
9228047166650
1072858007215
112899849a204
1212153bba753
136b415a4796
143752419c87
151d664a7a60
hex10f6acf6af

72858007215 has 48 divisors (see below), whose sum is σ = 144449967168. Its totient is φ = 33278427648.

The previous prime is 72858007177. The next prime is 72858007219. The reversal of 72858007215 is 51270085827.

It is not a de Polignac number, because 72858007215 - 214 = 72857990831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72858007219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278857 + ... + 472733.

It is an arithmetic number, because the mean of its divisors is an integer number (3009374316).

Almost surely, 272858007215 is an apocalyptic number.

72858007215 is a deficient number, since it is larger than the sum of its proper divisors (71591959953).

72858007215 is a wasteful number, since it uses less digits than its factorization.

72858007215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195088 (or 195085 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 72858007215 in words is "seventy-two billion, eight hundred fifty-eight million, seven thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1193 3579 5965 8351 10737 17895 25053 41755 53685 75159 125265 193877 375795 581631 969385 1357139 1744893 2908155 4071417 6785695 8724465 12214251 20357085 61071255 231295261 693885783 1156476305 1619066827 2081657349 3469428915 4857200481 8095334135 10408286745 14571601443 24286002405 72858007215