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72257374320 = 2435614935613
BaseRepresentation
bin100001101001011100…
…0000000100001110000
320220111201222221021220
41003102320000201300
52140440341434240
653110010145040
75135414355615
oct1032270004160
9226451887256
1072257374320
112870a44988a
1212006a22180
136a77016ac1
1436d674a50c
151d2d8b25d0
hex10d2e00870

72257374320 has 80 divisors (see below), whose sum is σ = 227670002592. Its totient is φ = 18952750080.

The previous prime is 72257374223. The next prime is 72257374349. The reversal of 72257374320 is 2347375227.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×722573743202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 2453167 + ... + 2482446.

Almost surely, 272257374320 is an apocalyptic number.

It is an amenable number.

72257374320 is an abundant number, since it is smaller than the sum of its proper divisors (155412628272).

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

72257374320 is a wasteful number, since it uses less digits than its factorization.

72257374320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935690 (or 4935684 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 42.

The spelling of 72257374320 in words is "seventy-two billion, two hundred fifty-seven million, three hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 4935613 9871226 14806839 19742452 24678065 29613678 39484904 49356130 59227356 74034195 78969808 98712260 118454712 148068390 197424520 236909424 296136780 301072393 394849040 592273560 602144786 903217179 1184547120 1204289572 1505361965 1806434358 2408579144 3010723930 3612868716 4516085895 4817158288 6021447860 7225737432 9032171790 12042895720 14451474864 18064343580 24085791440 36128687160 72257374320