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72040137336 = 23322638114691
BaseRepresentation
bin100001100010111101…
…1010100001001111000
320212221121020011011200
41003011323110021320
52140014233343321
653032250054200
75130136030626
oct1030573241170
9225847204150
1072040137336
1128608863492
1211b6611a360
136a41005bcb
1436b595c516
151d197a0d26
hex10c5ed4278

72040137336 has 96 divisors (see below), whose sum is σ = 196133857920. Its totient is φ = 23887483200.

The previous prime is 72040137331. The next prime is 72040137341. The reversal of 72040137336 is 63373104027.

It is an interprime number because it is at equal distance from previous prime (72040137331) and next prime (72040137341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72040137336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72040137331) 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 23 ways as a sum of consecutive naturals, for example, 15354751 + ... + 15359441.

It is an arithmetic number, because the mean of its divisors is an integer number (2043061020).

Almost surely, 272040137336 is an apocalyptic number.

It is an amenable number.

72040137336 is an abundant number, since it is smaller than the sum of its proper divisors (124093720584).

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

72040137336 is a wasteful number, since it uses less digits than its factorization.

72040137336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 72040137336 in words is "seventy-two billion, forty million, one hundred thirty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 263 526 789 811 1052 1578 1622 2104 2367 2433 3156 3244 4691 4734 4866 6312 6488 7299 9382 9468 9732 14073 14598 18764 18936 19464 28146 29196 37528 42219 56292 58392 84438 112584 168876 213293 337752 426586 639879 853172 1233733 1279758 1706344 1919637 2467466 2559516 3701199 3804401 3839274 4934932 5119032 7402398 7608802 7678548 9869864 11103597 11413203 14804796 15217604 15357096 22207194 22826406 29609592 30435208 34239609 44414388 45652812 68479218 88828776 91305624 136958436 273916872 1000557463 2001114926 3001672389 4002229852 6003344778 8004459704 9005017167 12006689556 18010034334 24013379112 36020068668 72040137336