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72038226 = 2313923567
BaseRepresentation
bin1000100101100…
…11011101010010
312000112220212110
410102303131102
5121420210401
611052010150
71533212661
oct422633522
9160486773
1072038226
1137733427
1220160956
1311c03490
1497d2dd8
1564ce9d6
hex44b3752

72038226 has 16 divisors (see below), whose sum is σ = 155159424. Its totient is φ = 22165584.

The previous prime is 72038221. The next prime is 72038237. The reversal of 72038226 is 62283027.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72038193 and 72038202.

It is not an unprimeable number, because it can be changed into a prime (72038221) 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, 461706 + ... + 461861.

It is an arithmetic number, because the mean of its divisors is an integer number (9697464).

Almost surely, 272038226 is an apocalyptic number.

72038226 is an abundant number, since it is smaller than the sum of its proper divisors (83121198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72038226 is a wasteful number, since it uses less digits than its factorization.

72038226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923585.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72038226 is about 8487.5335639984. The cubic root of 72038226 is about 416.0903749962.

The spelling of 72038226 in words is "seventy-two million, thirty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 923567 1847134 2770701 5541402 12006371 24012742 36019113 72038226