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72394746240 = 2735291300193
BaseRepresentation
bin100001101101100010…
…0000010100110000000
320220212022111011010210
41003123010002212000
52141231023334430
653131354354120
75142003122055
oct1033304024600
9226768434123
1072394746240
112877aa463a3
1212044a2b940
136a99613b6b
14370aaa902c
151d3a99a2b0
hex10db102980

72394746240 has 128 divisors (see below), whose sum is σ = 238715618400. Its totient is φ = 18639552512.

The previous prime is 72394746239. The next prime is 72394746241. The reversal of 72394746240 is 4264749327.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72394746239) and next prime (72394746241).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72394746240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72394746241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594417 + ... + 705776.

Almost surely, 272394746240 is an apocalyptic number.

It is an amenable number.

72394746240 is an abundant number, since it is smaller than the sum of its proper divisors (166320872160).

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

72394746240 is a wasteful number, since it uses less digits than its factorization.

72394746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300244 (or 1300232 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 72394746240 in words is "seventy-two billion, three hundred ninety-four million, seven hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1160 1392 1740 1856 1920 2320 2784 3480 3712 4640 5568 6960 9280 11136 13920 18560 27840 55680 1300193 2600386 3900579 5200772 6500965 7801158 10401544 13001930 15602316 19502895 20803088 26003860 31204632 37705597 39005790 41606176 52007720 62409264 75411194 78011580 83212352 104015440 113116791 124818528 150822388 156023160 166424704 188527985 208030880 226233582 249637056 301644776 312046320 377055970 416061760 452467164 499274112 565583955 603289552 624092640 754111940 832123520 904934328 1131167910 1206579104 1248185280 1508223880 1809868656 2262335820 2413158208 2496370560 3016447760 3619737312 4524671640 4826316416 6032895520 7239474624 9049343280 12065791040 14478949248 18098686560 24131582080 36197373120 72394746240