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72028641 = 357741611
BaseRepresentation
bin1000100101100…
…01000111100001
312000112102201110
410102301013201
5121414404031
611051453533
71533143016
oct422610741
9160472643
1072028641
1137727203
12201572a9
1311bcbcc9
1497cd70d
1564cbc46
hex44b11e1

72028641 has 8 divisors (see below), whose sum is σ = 96206944. Its totient is φ = 47934720.

The previous prime is 72028637. The next prime is 72028669. The reversal of 72028641 is 14682027.

72028641 is nontrivially palindromic in base 15.

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

It is not a de Polignac number, because 72028641 - 22 = 72028637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72028599 and 72028608.

It is not an unprimeable number, because it can be changed into a prime (72028681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19075 + ... + 22536.

It is an arithmetic number, because the mean of its divisors is an integer number (12025868).

Almost surely, 272028641 is an apocalyptic number.

It is an amenable number.

72028641 is a deficient number, since it is larger than the sum of its proper divisors (24178303).

72028641 is a wasteful number, since it uses less digits than its factorization.

72028641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42191.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72028641 is about 8486.9688935450. The cubic root of 72028641 is about 416.0719199650.

The spelling of 72028641 in words is "seventy-two million, twenty-eight thousand, six hundred forty-one".

Divisors: 1 3 577 1731 41611 124833 24009547 72028641