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71321472 = 27352293
BaseRepresentation
bin1000100000001…
…00011110000000
311222012111200000
410100010132000
5121224241342
611024400000
71524136215
oct420043600
9158174600
1071321472
1137293972
121ba76000
1311a12171
149687b0c
1563dc44c
hex4404780

71321472 has 96 divisors (see below), whose sum is σ = 212929080. Its totient is φ = 23763456.

The previous prime is 71321441. The next prime is 71321473. The reversal of 71321472 is 27412317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71321473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29958 + ... + 32250.

Almost surely, 271321472 is an apocalyptic number.

71321472 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 71321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106464540).

71321472 is an abundant number, since it is smaller than the sum of its proper divisors (141607608).

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

71321472 is an equidigital number, since it uses as much as digits as its factorization.

71321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2298 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 71321472 is about 8445.2040827916. The cubic root of 71321472 is about 414.7057904082.

Adding to 71321472 its reverse (27412317), we get a palindrome (98733789).

The spelling of 71321472 in words is "seventy-one million, three hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2293 2592 3456 3888 4586 5184 6879 7776 9172 10368 13758 15552 18344 20637 27516 31104 36688 41274 55032 61911 73376 82548 110064 123822 146752 165096 185733 220128 247644 293504 330192 371466 440256 495288 557199 660384 742932 880512 990576 1114398 1320768 1485864 1981152 2228796 2641536 2971728 3962304 4457592 5943456 7924608 8915184 11886912 17830368 23773824 35660736 71321472