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73472 = 28741
BaseRepresentation
bin10001111100000000
310201210012
4101330000
54322342
61324052
7424130
oct217400
9121705
1073472
1150223
1236628
1327599
141cac0
1516b82
hex11f00

73472 has 36 divisors (see below), whose sum is σ = 171696. Its totient is φ = 30720.

The previous prime is 73471. The next prime is 73477. The reversal of 73472 is 27437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73471) 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, 1772 + ... + 1812.

273472 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 73472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85848).

73472 is an abundant number, since it is smaller than the sum of its proper divisors (98224).

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

73472 is an equidigital number, since it uses as much as digits as its factorization.

73472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 50 counting only the distinct ones).

The product of its digits is 1176, while the sum is 23.

The square root of 73472 is about 271.0571895376. The cubic root of 73472 is about 41.8832737791.

It can be divided in two parts, 73 and 472, that added together give a palindrome (545).

The spelling of 73472 in words is "seventy-three thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 574 656 896 1148 1312 1792 2296 2624 4592 5248 9184 10496 18368 36736 73472