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75015072 = 253511877
BaseRepresentation
bin1000111100010…
…10001110100000
312020011011100000
410132022032200
5123200440242
611235500000
71600421556
oct436121640
9166134300
1075015072
1139386a30
1221157600
1312706422
149d69bd6
1568bba4c
hex478a3a0

75015072 has 144 divisors (see below), whose sum is σ = 241611552. Its totient is φ = 22705920.

The previous prime is 75015053. The next prime is 75015077. The reversal of 75015072 is 27051057.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×750150722 = 11254522054330368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (75015077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85098 + ... + 85974.

It is an arithmetic number, because the mean of its divisors is an integer number (1677858).

Almost surely, 275015072 is an apocalyptic number.

75015072 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 75015072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120805776).

75015072 is an abundant number, since it is smaller than the sum of its proper divisors (166596480).

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

75015072 is a wasteful number, since it uses less digits than its factorization.

75015072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 75015072 is about 8661.1241764565. The cubic root of 75015072 is about 421.7445801302.

The spelling of 75015072 in words is "seventy-five million, fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 877 891 972 1056 1188 1296 1584 1754 1782 1944 2376 2592 2631 2673 3168 3508 3564 3888 4752 5262 5346 7016 7128 7776 7893 9504 9647 10524 10692 14032 14256 15786 19294 21048 21384 23679 28064 28512 28941 31572 38588 42096 42768 47358 57882 63144 71037 77176 84192 85536 86823 94716 115764 126288 142074 154352 173646 189432 213111 231528 252576 260469 284148 308704 347292 378864 426222 463056 520938 568296 694584 757728 781407 852444 926112 1041876 1136592 1389168 1562814 1704888 2083752 2273184 2344221 2778336 3125628 3409776 4167504 4688442 6251256 6819552 8335008 9376884 12502512 18753768 25005024 37507536 75015072