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72622538675328 = 2732380910163981
BaseRepresentation
bin10000100000110011000000…
…100111101101010010000000
3100112010122110120211000100210
4100200303000213231102000
534004321424400102303
6414242200024514120
721203543131411605
oct2040630047552200
9315118416730323
1072622538675328
112115a0558a8904
12818a89931b940
13316a378524245
1413d0d41abc6ac
1585e12b3c7203
hex420cc09ed480

72622538675328 has 128 divisors (see below), whose sum is σ = 201539566281600. Its totient is φ = 23126388285440.

The previous prime is 72622538675227. The next prime is 72622538675341. The reversal of 72622538675328 is 82357683522627.

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

It is a super-2 number, since 2×726225386753282 (a number of 29 digits) contains 22 as substring.

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, 2063098 + ... + 12227078.

It is an arithmetic number, because the mean of its divisors is an integer number (1574527861575).

Almost surely, 272622538675328 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 72622538675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100769783140800).

72622538675328 is an abundant number, since it is smaller than the sum of its proper divisors (128917027606272).

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

72622538675328 is a wasteful number, since it uses less digits than its factorization.

72622538675328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10164830 (or 10164818 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 66.

The spelling of 72622538675328 in words is "seventy-two trillion, six hundred twenty-two billion, five hundred thirty-eight million, six hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 809 1104 1472 1618 2208 2427 2944 3236 4416 4854 6472 8832 9708 12944 18607 19416 25888 37214 38832 51776 55821 74428 77664 103552 111642 148856 155328 223284 297712 310656 446568 595424 893136 1190848 1786272 2381696 3572544 7145088 10163981 20327962 30491943 40655924 60983886 81311848 121967772 162623696 233771563 243935544 325247392 467543126 487871088 650494784 701314689 935086252 975742176 1300989568 1402629378 1870172504 1951484352 2805258756 3740345008 3902968704 5610517512 7480690016 8222660629 11221035024 14961380032 16445321258 22442070048 24667981887 29922760064 32890642516 44884140096 49335963774 65781285032 89768280192 98671927548 131562570064 189121194467 197343855096 263125140128 378242388934 394687710192 526250280256 567363583401 756484777868 789375420384 1052500560512 1134727166802 1512969555736 1578750840768 2269454333604 3025939111472 3157501681536 4538908667208 6051878222944 9077817334416 12103756445888 18155634668832 24207512891776 36311269337664 72622538675328