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72642227376 = 24323111758907
BaseRepresentation
bin100001110100111010…
…0000110110010110000
320221111120011111102210
41003221310012302300
52142232402234001
653212115012120
75151066513315
oct1035164066260
9227446144383
1072642227376
1128897709664
12120b389a040
136b08983bc4
1437318cad0c
151d52582dd6
hex10e9d06cb0

72642227376 has 80 divisors (see below), whose sum is σ = 195996812544. Its totient is φ = 23140161792.

The previous prime is 72642227369. The next prime is 72642227389. The reversal of 72642227376 is 67372224627.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203715 + ... + 1262621.

Almost surely, 272642227376 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 72642227376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97998406272).

72642227376 is an abundant number, since it is smaller than the sum of its proper divisors (123354585168).

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

72642227376 is a wasteful number, since it uses less digits than its factorization.

72642227376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60058 (or 60052 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 48.

The spelling of 72642227376 in words is "seventy-two billion, six hundred forty-two million, two hundred twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1117 2234 3351 4468 6702 8936 13404 17872 25691 26808 51382 53616 58907 77073 102764 117814 154146 176721 205528 235628 308292 353442 411056 471256 616584 706884 942512 1233168 1354861 1413768 2709722 2827536 4064583 5419444 8129166 10838888 16258332 21677776 32516664 65033328 65799119 131598238 197397357 263196476 394794714 526392952 789589428 1052785904 1513379737 1579178856 3026759474 3158357712 4540139211 6053518948 9080278422 12107037896 18160556844 24214075792 36321113688 72642227376