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72680976 = 243456081
BaseRepresentation
bin1000101010100…
…00011000010000
312001202120120000
410111100120100
5122101242401
611113450000
71541530614
oct425203020
9161676500
1072680976
1138032325
1220410900
1312099bc4
14991d344
1565aa186
hex4550610

72680976 has 50 divisors (see below), whose sum is σ = 210363582. Its totient is φ = 24226560.

The previous prime is 72680939. The next prime is 72680999. The reversal of 72680976 is 67908627.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 47279376 + 25401600 = 6876^2 + 5040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 26745 + ... + 29336.

Almost surely, 272680976 is an apocalyptic number.

It is an amenable number.

72680976 is an abundant number, since it is smaller than the sum of its proper divisors (137682606).

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

72680976 is a wasteful number, since it uses less digits than its factorization.

72680976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56101 (or 56086 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 72680976 is about 8525.3138358655. The cubic root of 72680976 is about 417.3242134692.

The spelling of 72680976 in words is "seventy-two million, six hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 56081 112162 168243 224324 336486 448648 504729 672972 897296 1009458 1345944 1514187 2018916 2691888 3028374 4037832 4542561 6056748 8075664 9085122 12113496 18170244 24226992 36340488 72680976