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72823 is a prime number
BaseRepresentation
bin10001110001110111
310200220011
4101301313
54312243
61321051
7422212
oct216167
9120804
1072823
114a793
1236187
13271ba
141c779
151689d
hex11c77

72823 has 2 divisors, whose sum is σ = 72824. Its totient is φ = 72822.

The previous prime is 72817. The next prime is 72859. The reversal of 72823 is 32827.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72823 is a prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 72794 and 72803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36411 + 36412.

It is an arithmetic number, because the mean of its divisors is an integer number (36412).

272823 is an apocalyptic number.

72823 is a deficient number, since it is larger than the sum of its proper divisors (1).

72823 is an equidigital number, since it uses as much as digits as its factorization.

72823 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672, while the sum is 22.

The square root of 72823 is about 269.8573697345. The cubic root of 72823 is about 41.7595864059.

The spelling of 72823 in words is "seventy-two thousand, eight hundred twenty-three".