72296 has 16 divisors (see below), whose sum is σ = 155040. Its totient is φ = 30960.
The previous prime is 72287. The next prime is 72307. The reversal of 72296 is 69227.
It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.
72296 is a modest number, since divided by 296 gives 72 as remainder.
It is an unprimeable number.
72296 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, 590 + ... + 701.
It is an arithmetic number, because the mean of its divisors is an integer number (9690).
272296 is an apocalyptic number.
It is an amenable number.
72296 is an abundant number, since it is smaller than the sum of its proper divisors (82744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77520).
72296 is a wasteful number, since it uses less digits than its factorization.
72296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1304 (or 1300 counting only the distinct ones).
The product of its digits is 1512, while the sum is 26.
The square root of 72296 is about 268.8791550121. The cubic root of 72296 is about 41.6586082194.
It can be divided in two parts, 722 and 96, that added together give a palindrome (818).
The spelling of 72296 in words is "seventy-two thousand, two hundred ninety-six".
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