Search a number
-
+
72769059 = 321131131181
BaseRepresentation
bin1000101011001…
…01111000100011
312001221001101100
410111211320203
5122112102214
611115405443
71542345456
oct425457043
9161831340
1072769059
1138092520
1220453883
13120cb01c
14994349d
1565c6309
hex4565e23

72769059 has 48 divisors (see below), whose sum is σ = 119927808. Its totient is φ = 42120000.

The previous prime is 72769013. The next prime is 72769087. The reversal of 72769059 is 95096727.

It is not a de Polignac number, because 72769059 - 27 = 72768931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72769759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401949 + ... + 402129.

It is an arithmetic number, because the mean of its divisors is an integer number (2498496).

Almost surely, 272769059 is an apocalyptic number.

72769059 is a deficient number, since it is larger than the sum of its proper divisors (47158749).

72769059 is a wasteful number, since it uses less digits than its factorization.

72769059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 72769059 is about 8530.4782398175. The cubic root of 72769059 is about 417.4927322530.

The spelling of 72769059 in words is "seventy-two million, seven hundred sixty-nine thousand, fifty-nine".

Divisors: 1 3 9 11 31 33 93 99 131 181 279 341 393 543 1023 1179 1441 1629 1991 3069 4061 4323 5611 5973 12183 12969 16833 17919 23711 36549 44671 50499 61721 71133 134013 185163 213399 260821 402039 555489 735041 782463 2205123 2347389 6615369 8085451 24256353 72769059