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72764370 = 23257115499
BaseRepresentation
bin1000101011001…
…00101111010010
312001220210221200
410111210233102
5122111424440
611115332030
71542326010
oct425445722
9161823850
1072764370
1138089a48
1220451016
13120c8b53
1499418b0
1565c4c30
hex4564bd2

72764370 has 48 divisors (see below), whose sum is σ = 216216000. Its totient is φ = 16631712.

The previous prime is 72764327. The next prime is 72764401. The reversal of 72764370 is 7346727.

72764370 is a `hidden beast` number, since 7 + 2 + 7 + 643 + 7 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57120 + ... + 58379.

It is an arithmetic number, because the mean of its divisors is an integer number (4504500).

Almost surely, 272764370 is an apocalyptic number.

72764370 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72764370 is an abundant number, since it is smaller than the sum of its proper divisors (143451630).

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

72764370 is a wasteful number, since it uses less digits than its factorization.

72764370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115519 (or 115516 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 72764370 is about 8530.2033973405. The cubic root of 72764370 is about 417.4837647720.

The spelling of 72764370 in words is "seventy-two million, seven hundred sixty-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 115499 230998 346497 577495 692994 808493 1039491 1154990 1616986 1732485 2078982 2425479 3464970 4042465 4850958 5197455 7276437 8084930 10394910 12127395 14552874 24254790 36382185 72764370