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72801793 is a prime number
BaseRepresentation
bin1000101011011…
…01111000000001
312001222201021201
410111231320001
5122114124133
611120221201
71542543061
oct425557001
9161881251
1072801793
1138105079
122046a801
131210cbac
1499513a1
1565d0d7d
hex456de01

72801793 has 2 divisors, whose sum is σ = 72801794. Its totient is φ = 72801792.

The previous prime is 72801791. The next prime is 72801887. The reversal of 72801793 is 39710827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44997264 + 27804529 = 6708^2 + 5273^2 .

It is a cyclic number.

It is not a de Polignac number, because 72801793 - 21 = 72801791 is a prime.

Together with 72801791, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72801791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36400896 + 36400897.

It is an arithmetic number, because the mean of its divisors is an integer number (36400897).

Almost surely, 272801793 is an apocalyptic number.

It is an amenable number.

72801793 is a deficient number, since it is larger than the sum of its proper divisors (1).

72801793 is an equidigital number, since it uses as much as digits as its factorization.

72801793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 72801793 is about 8532.3966738543. The cubic root of 72801793 is about 417.5553236833. Note that the first 3 decimals are identical.

The spelling of 72801793 in words is "seventy-two million, eight hundred one thousand, seven hundred ninety-three".