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72144737 = 7113223409
BaseRepresentation
bin1000100110011…
…01011101100001
312000202022222022
410103031131201
5121432112422
611054151225
71534135340
oct423153541
9160668868
1072144737
11377a6455
12201b2515
1311c3cac2
14981db57
156501342
hex44cd761

72144737 has 16 divisors (see below), whose sum is σ = 83758080. Its totient is φ = 60867072.

The previous prime is 72144731. The next prime is 72144739. The reversal of 72144737 is 73744127.

It is a happy number.

It is not a de Polignac number, because 72144737 - 210 = 72143713 is a prime.

It is a super-3 number, since 3×721447373 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72144697 and 72144706.

It is not an unprimeable number, because it can be changed into a prime (72144731) 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 15 ways as a sum of consecutive naturals, for example, 176189 + ... + 176597.

It is an arithmetic number, because the mean of its divisors is an integer number (5234880).

Almost surely, 272144737 is an apocalyptic number.

It is an amenable number.

72144737 is a deficient number, since it is larger than the sum of its proper divisors (11613343).

72144737 is a wasteful number, since it uses less digits than its factorization.

72144737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752.

The product of its digits is 32928, while the sum is 35.

The square root of 72144737 is about 8493.8058018770. The cubic root of 72144737 is about 416.2953419993.

The spelling of 72144737 in words is "seventy-two million, one hundred forty-four thousand, seven hundred thirty-seven".

Divisors: 1 7 113 223 409 791 1561 2863 25199 46217 91207 176393 323519 638449 10306391 72144737