72051 has 16 divisors (see below), whose sum is σ = 113664. Its totient is φ = 39744.
The previous prime is 72047. The next prime is 72053. The reversal of 72051 is 15027.
It is a happy number.
It is not a de Polignac number, because 72051 - 22 = 72047 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 72051.
It is not an unprimeable number, because it can be changed into a prime (72053) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951 + ... + 1023.
It is an arithmetic number, because the mean of its divisors is an integer number (7104).
272051 is an apocalyptic number.
72051 is a deficient number, since it is larger than the sum of its proper divisors (41613).
72051 is a wasteful number, since it uses less digits than its factorization.
72051 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130.
The product of its (nonzero) digits is 70, while the sum is 15.
The square root of 72051 is about 268.4231733662. The cubic root of 72051 is about 41.6114967608.
Adding to 72051 its reverse (15027), we get a palindrome (87078).
The spelling of 72051 in words is "seventy-two thousand, fifty-one".
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