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71942720 = 265383587
BaseRepresentation
bin1000100100111…
…00001001000000
312000101001212012
410102130021000
5121404131340
611045552052
71532334353
oct422341100
9160331765
1071942720
11376786a3
1220115628
1311b9bb75
1497aa29a
1564b1565
hex449c240

71942720 has 56 divisors (see below), whose sum is σ = 172053504. Its totient is φ = 28653056.

The previous prime is 71942701. The next prime is 71942743. The reversal of 71942720 is 2724917.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122267 + ... + 122853.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 271942720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86026752).

71942720 is an abundant number, since it is smaller than the sum of its proper divisors (100110784).

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

71942720 is a wasteful number, since it uses less digits than its factorization.

71942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 71942720 is about 8481.9054463016. The cubic root of 71942720 is about 415.9064138591.

The spelling of 71942720 in words is "seventy-one million, nine hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 383 587 766 1174 1532 1915 2348 2935 3064 3830 4696 5870 6128 7660 9392 11740 12256 15320 18784 23480 24512 30640 37568 46960 61280 93920 122560 187840 224821 449642 899284 1124105 1798568 2248210 3597136 4496420 7194272 8992840 14388544 17985680 35971360 71942720