Search a number
-
+
72149107 is a prime number
BaseRepresentation
bin1000100110011…
…10100001110011
312000202112222011
410103032201303
5121432232412
611054223351
71534154152
oct423164163
9160675864
1072149107
11377a9768
12201b4b57
1311c41aa4
149821599
1565027a7
hex44ce873

72149107 has 2 divisors, whose sum is σ = 72149108. Its totient is φ = 72149106.

The previous prime is 72149087. The next prime is 72149111. The reversal of 72149107 is 70194127.

It is a strong prime.

It is an emirp because it is prime and its reverse (70194127) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72149107 is a prime.

It is equal to p4236961 and since 72149107 and 4236961 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (72149117) 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 as a sum of consecutive naturals, namely, 36074553 + 36074554.

It is an arithmetic number, because the mean of its divisors is an integer number (36074554).

Almost surely, 272149107 is an apocalyptic number.

72149107 is a deficient number, since it is larger than the sum of its proper divisors (1).

72149107 is an equidigital number, since it uses as much as digits as its factorization.

72149107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 72149107 is about 8494.0630442680. The cubic root of 72149107 is about 416.3037472043.

The spelling of 72149107 in words is "seventy-two million, one hundred forty-nine thousand, one hundred seven".