Search a number
-
+
72153329 is a prime number
BaseRepresentation
bin1000100110011…
…11100011110001
312000202202202112
410103033203301
5121432401304
611054255105
71534202363
oct423174361
9160682675
1072153329
1137801956
12201b7495
1311c439a1
149822d33
156503b6e
hex44cf8f1

72153329 has 2 divisors, whose sum is σ = 72153330. Its totient is φ = 72153328.

The previous prime is 72153281. The next prime is 72153373. The reversal of 72153329 is 92335127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66863329 + 5290000 = 8177^2 + 2300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72153329 is a prime.

It is a super-2 number, since 2×721533292 = 10412205771564482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72153295 and 72153304.

It is not a weakly prime, because it can be changed into another prime (72158329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36076664 + 36076665.

It is an arithmetic number, because the mean of its divisors is an integer number (36076665).

Almost surely, 272153329 is an apocalyptic number.

It is an amenable number.

72153329 is a deficient number, since it is larger than the sum of its proper divisors (1).

72153329 is an equidigital number, since it uses as much as digits as its factorization.

72153329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11340, while the sum is 32.

The square root of 72153329 is about 8494.3115671607. The cubic root of 72153329 is about 416.3118674255.

The spelling of 72153329 in words is "seventy-two million, one hundred fifty-three thousand, three hundred twenty-nine".