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71552 = 271343
BaseRepresentation
bin10001011110000000
310122011002
4101132000
54242202
61311132
7415415
oct213600
9118132
1071552
1149838
12354a8
1326750
141c10c
1516302
hex11780

71552 has 32 divisors (see below), whose sum is σ = 157080. Its totient is φ = 32256.

The previous prime is 71551. The next prime is 71563. The reversal of 71552 is 25517.

It can be divided in two parts, 715 and 52, that added together give a palindrome (767).

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (350) is a multiple of the sum of its prime factors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71551) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1643 + ... + 1685.

271552 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 71552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78540).

71552 is an abundant number, since it is smaller than the sum of its proper divisors (85528).

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

71552 is a wasteful number, since it uses less digits than its factorization.

71552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 58 counting only the distinct ones).

The product of its digits is 350, while the sum is 20.

The square root of 71552 is about 267.4920559568. The cubic root of 71552 is about 41.5152119198.

The spelling of 71552 in words is "seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 344 416 559 688 832 1118 1376 1664 2236 2752 4472 5504 8944 17888 35776 71552