72654 has 8 divisors (see below), whose sum is σ = 145320. Its totient is φ = 24216.
The previous prime is 72649. The next prime is 72661. The reversal of 72654 is 45627.
It is a happy number.
It is a sphenic number, since it is the product of 3 distinct primes.
72654 is an admirable number.
It is a plaindrome in base 16.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72654.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6049 + ... + 6060.
It is an arithmetic number, because the mean of its divisors is an integer number (18165).
272654 is an apocalyptic number.
72654 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
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 (72660).
72654 is a wasteful number, since it uses less digits than its factorization.
72654 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12114.
The product of its digits is 1680, while the sum is 24.
The square root of 72654 is about 269.5440594782. The cubic root of 72654 is about 41.7272576247.
It can be divided in two parts, 726 and 54, that multiplied together give a square (39204 = 1982).
The spelling of 72654 in words is "seventy-two thousand, six hundred fifty-four".
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