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79072 = 257353
BaseRepresentation
bin10011010011100000
311000110121
4103103200
510012242
61410024
7446350
oct232340
9130417
1079072
1154454
1239914
1329cb6
1420b60
1518667
hex134e0

79072 has 24 divisors (see below), whose sum is σ = 178416. Its totient is φ = 33792.

The previous prime is 79063. The next prime is 79087. The reversal of 79072 is 27097.

Adding to 79072 its sum of digits (25), we get a palindrome (79097).

It can be divided in two parts, 7 and 9072, that multiplied together give a square (63504 = 2522).

It is a congruent number.

It is an unprimeable number.

79072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 48 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (7434).

279072 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 79072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89208).

79072 is an abundant number, since it is smaller than the sum of its proper divisors (99344).

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

79072 is a wasteful number, since it uses less digits than its factorization.

79072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 79072 is about 281.1974395332. The cubic root of 79072 is about 42.9214357767.

The spelling of 79072 in words is "seventy-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 353 706 1412 2471 2824 4942 5648 9884 11296 19768 39536 79072