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72709330876408 = 231923199257406661
BaseRepresentation
bin10000100010000011110101…
…110101101011011111111000
3100112102221111021122122121201
4100202003311311223133320
534012232202201021113
6414350112214543544
721213035000063662
oct2042036565533770
9315387437578551
1072709330876408
112119294382a106
1281a367b967bb4
1331755ca8a6c45
1413d5216961532
1586150ad14cdd
hex4220f5d6b7f8

72709330876408 has 128 divisors (see below), whose sum is σ = 151083066240000. Its totient is φ = 32650646814720.

The previous prime is 72709330876327. The next prime is 72709330876409. The reversal of 72709330876408 is 80467803390727.

It is a self number, because there is not a number n which added to its sum of digits gives 72709330876408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72709330876409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178592598 + ... + 178999258.

It is an arithmetic number, because the mean of its divisors is an integer number (1180336455000).

Almost surely, 272709330876408 is an apocalyptic number.

It is an amenable number.

72709330876408 is an abundant number, since it is smaller than the sum of its proper divisors (78373735363592).

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

72709330876408 is a wasteful number, since it uses less digits than its factorization.

72709330876408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407165 (or 407161 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 64.

The spelling of 72709330876408 in words is "seventy-two trillion, seven hundred nine billion, three hundred thirty million, eight hundred seventy-six thousand, four hundred eight".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 199 257 398 437 514 796 874 1028 1592 1748 2056 3496 3781 4577 4883 5911 7562 9154 9766 11822 15124 18308 19532 23644 30248 36616 39064 47288 51143 86963 102286 112309 173926 204572 224618 347852 406661 409144 449236 695704 813322 898472 971717 1176289 1626644 1943434 2352578 3253288 3886868 4705156 7726559 7773736 9353203 9410312 15453118 18706406 22349491 30906236 37412812 44698982 61812472 74825624 80925539 89397964 104511877 161851078 177710857 178795928 209023754 323702156 355421714 418047508 647404312 710843428 836095016 1421686856 1537585241 1861287397 1985725663 2403773171 3075170482 3722574794 3971451326 4807546342 6150340964 7445149588 7942902652 9615092684 12300681928 14890299176 15885805304 19230185368 20797863523 35364460543 41595727046 45671690249 70728921086 83191454092 91343380498 141457842172 166382908184 182686760996 282915684344 365373521992 395159406937 478350861029 790318813874 956701722058 1580637627748 1913403444116 3161275255496 3826806888232 9088666359551 18177332719102 36354665438204 72709330876408