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72830064 = 24310314731
BaseRepresentation
bin1000101011101…
…00110001110000
312002001011001210
410111310301300
5122121030224
611121000120
71543021356
oct425646160
9162034053
1072830064
113812433a
1220483040
131211ca18
14995b7d6
1565d9429
hex4574c70

72830064 has 40 divisors (see below), whose sum is σ = 189983872. Its totient is φ = 24039360.

The previous prime is 72830027. The next prime is 72830071. The reversal of 72830064 is 46003827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2422 + ... + 12309.

Almost surely, 272830064 is an apocalyptic number.

It is an amenable number.

72830064 is an abundant number, since it is smaller than the sum of its proper divisors (117153808).

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

72830064 is a wasteful number, since it uses less digits than its factorization.

72830064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14845 (or 14839 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72830064 is about 8534.0531988030. The cubic root of 72830064 is about 417.6093662114.

The spelling of 72830064 in words is "seventy-two million, eight hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4944 14731 29462 44193 58924 88386 117848 176772 235696 353544 707088 1517293 3034586 4551879 6069172 9103758 12138344 18207516 24276688 36415032 72830064