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72763 is a prime number
BaseRepresentation
bin10001110000111011
310200210221
4101300323
54312023
61320511
7422065
oct216073
9120727
1072763
114a739
1236137
1327172
141c735
151685d
hex11c3b

72763 has 2 divisors, whose sum is σ = 72764. Its totient is φ = 72762.

The previous prime is 72739. The next prime is 72767. The reversal of 72763 is 36727.

72763 is nontrivially palindromic in base 13.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72763 - 29 = 72251 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (72767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36381 + 36382.

It is an arithmetic number, because the mean of its divisors is an integer number (36382).

272763 is an apocalyptic number.

72763 is a deficient number, since it is larger than the sum of its proper divisors (1).

72763 is an equidigital number, since it uses as much as digits as its factorization.

72763 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 25.

The square root of 72763 is about 269.7461769887. The cubic root of 72763 is about 41.7481144642.

The spelling of 72763 in words is "seventy-two thousand, seven hundred sixty-three".