Search a number
-
+
72345069 = 34893149
BaseRepresentation
bin1000100111111…
…10010111101101
312001010111210000
410103332113231
5122010020234
611102334513
71535631366
oct423762755
9161114700
1072345069
1137922a15
122028a439
1311cb0044
149872b6d
156540899
hex44fe5ed

72345069 has 10 divisors (see below), whose sum is σ = 108071150. Its totient is φ = 48229992.

The previous prime is 72345029. The next prime is 72345071. The reversal of 72345069 is 96054327.

It can be written as a sum of positive squares in only one way, i.e., 41409225 + 30935844 = 6435^2 + 5562^2 .

It is not a de Polignac number, because 72345069 - 27 = 72344941 is a prime.

It is a super-2 number, since 2×723450692 = 10467618017229522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72345019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 446494 + ... + 446655.

It is an arithmetic number, because the mean of its divisors is an integer number (10807115).

Almost surely, 272345069 is an apocalyptic number.

It is an amenable number.

72345069 is a deficient number, since it is larger than the sum of its proper divisors (35726081).

72345069 is an equidigital number, since it uses as much as digits as its factorization.

72345069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893161 (or 893152 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72345069 is about 8505.5904556944. The cubic root of 72345069 is about 416.6803098110.

The spelling of 72345069 in words is "seventy-two million, three hundred forty-five thousand, sixty-nine".

Divisors: 1 3 9 27 81 893149 2679447 8038341 24115023 72345069