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72219983 = 1141792027
BaseRepresentation
bin1000100110111…
…11110101001111
312000220011012012
410103133311033
5121442014413
611055531435
71534600613
oct423376517
9160804165
1072219983
1137847a40
1220229b7b
1311c68124
14983d343
1565187a8
hex44dfd4f

72219983 has 16 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 63211200.

The previous prime is 72219943. The next prime is 72219991. The reversal of 72219983 is 38991227.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72219983 - 222 = 68025679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72219983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72219923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34616 + ... + 36642.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 272219983 is an apocalyptic number.

72219983 is a deficient number, since it is larger than the sum of its proper divisors (9548977).

72219983 is a wasteful number, since it uses less digits than its factorization.

72219983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158.

The product of its digits is 54432, while the sum is 41.

The square root of 72219983 is about 8498.2341106844. The cubic root of 72219983 is about 416.4400218773.

The spelling of 72219983 in words is "seventy-two million, two hundred nineteen thousand, nine hundred eighty-three".

Divisors: 1 11 41 79 451 869 2027 3239 22297 35629 83107 160133 914177 1761463 6565453 72219983