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72126836736 = 212353110749
BaseRepresentation
bin100001100101100011…
…0000011000000000000
320220011122100221101120
41003023012003000000
52140203432233421
653045024232240
75132240665563
oct1031306030000
9226148327346
1072126836736
112865279aa89
1211b8b16b680
136a55c70726
1436c328a4da
151d221c98c6
hex10cb183000

72126836736 has 104 divisors (see below), whose sum is σ = 195945102000. Its totient is φ = 23588438016.

The previous prime is 72126836713. The next prime is 72126836737. The reversal of 72126836736 is 63763862127.

It is not an unprimeable number, because it can be changed into a prime (72126836737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595890 + ... + 706638.

Almost surely, 272126836736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72126836736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97972551000).

72126836736 is an abundant number, since it is smaller than the sum of its proper divisors (123818265264).

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

72126836736 is a wasteful number, since it uses less digits than its factorization.

72126836736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110829 (or 110807 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The spelling of 72126836736 in words is "seventy-two billion, one hundred twenty-six million, eight hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2048 2544 3072 3392 4096 5088 6144 6784 10176 12288 13568 20352 27136 40704 54272 81408 108544 110749 162816 217088 221498 325632 332247 442996 651264 664494 885992 1328988 1771984 2657976 3543968 5315952 5869697 7087936 10631904 11739394 14175872 17609091 21263808 23478788 28351744 35218182 42527616 46957576 56703488 70436364 85055232 93915152 113406976 140872728 170110464 187830304 226813952 281745456 340220928 375660608 453627904 563490912 680441856 751321216 1126981824 1360883712 1502642432 2253963648 3005284864 4507927296 6010569728 9015854592 12021139456 18031709184 24042278912 36063418368 72126836736