Search a number
-
+
72737741 is a prime number
BaseRepresentation
bin1000101010111…
…10001111001101
312001212110102102
410111132033031
5122110101431
611115004445
71542155246
oct425361715
9161773372
1072737741
1138070a3a
1220439725
13120b99ab
149935ccd
1565bbdcb
hex455e3cd

72737741 has 2 divisors, whose sum is σ = 72737742. Its totient is φ = 72737740.

The previous prime is 72737723. The next prime is 72737759. The reversal of 72737741 is 14773727.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (72737723) and next prime (72737759).

It can be written as a sum of positive squares in only one way, i.e., 67584841 + 5152900 = 8221^2 + 2270^2 .

It is an emirp because it is prime and its reverse (14773727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72737741 - 226 = 5628877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72737695 and 72737704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72737701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36368870 + 36368871.

It is an arithmetic number, because the mean of its divisors is an integer number (36368871).

Almost surely, 272737741 is an apocalyptic number.

It is an amenable number.

72737741 is a deficient number, since it is larger than the sum of its proper divisors (1).

72737741 is an equidigital number, since it uses as much as digits as its factorization.

72737741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57624, while the sum is 38.

The square root of 72737741 is about 8528.6423890324. The cubic root of 72737741 is about 417.4328308163.

The spelling of 72737741 in words is "seventy-two million, seven hundred thirty-seven thousand, seven hundred forty-one".