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72238933 = 1317326873
BaseRepresentation
bin1000100111001…
…00011101010101
312000221010012001
410103210131111
5121443121213
611100155301
71535010064
oct423443525
9160833161
1072238933
11378601a8
1220238b31
1311c73940
1498461db
15651e1dd
hex44e4755

72238933 has 8 divisors (see below), whose sum is σ = 82372248. Its totient is φ = 62759424.

The previous prime is 72238919. The next prime is 72238939. The reversal of 72238933 is 33983227.

It can be written as a sum of positive squares in 4 ways, for example, as 13593969 + 58644964 = 3687^2 + 7658^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72238933 - 29 = 72238421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72238892 and 72238901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72238939) 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 7 ways as a sum of consecutive naturals, for example, 163216 + ... + 163657.

It is an arithmetic number, because the mean of its divisors is an integer number (10296531).

Almost surely, 272238933 is an apocalyptic number.

It is an amenable number.

72238933 is a deficient number, since it is larger than the sum of its proper divisors (10133315).

72238933 is a wasteful number, since it uses less digits than its factorization.

72238933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326903.

The product of its digits is 54432, while the sum is 37.

The square root of 72238933 is about 8499.3489750686. The cubic root of 72238933 is about 416.4764423063.

The spelling of 72238933 in words is "seventy-two million, two hundred thirty-eight thousand, nine hundred thirty-three".

Divisors: 1 13 17 221 326873 4249349 5556841 72238933