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75131712 = 26354831
BaseRepresentation
bin1000111101001…
…10101101000000
312020101002100000
410132212231000
5123213203322
611242200000
71601415615
oct436465500
9166332300
1075131712
1139456627
12211b3000
1312747546
149d9a50c
1568e13ac
hex47a6b40

75131712 has 84 divisors (see below), whose sum is σ = 223373696. Its totient is φ = 25038720.

The previous prime is 75131671. The next prime is 75131737. The reversal of 75131712 is 21713157.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13137 + ... + 17967.

Almost surely, 275131712 is an apocalyptic number.

75131712 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 75131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111686848).

75131712 is an abundant number, since it is smaller than the sum of its proper divisors (148241984).

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

75131712 is an equidigital number, since it uses as much as digits as its factorization.

75131712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4836 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 75131712 is about 8667.8550980044. The cubic root of 75131712 is about 421.9630553972.

Adding to 75131712 its reverse (21713157), we get a palindrome (96844869).

The spelling of 75131712 in words is "seventy-five million, one hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 4831 5184 7776 9662 14493 15552 19324 28986 38648 43479 57972 77296 86958 115944 130437 154592 173916 231888 260874 309184 347832 391311 463776 521748 695664 782622 927552 1043496 1173933 1391328 1565244 2086992 2347866 2782656 3130488 4173984 4695732 6260976 8347968 9391464 12521952 18782928 25043904 37565856 75131712