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72889968 = 2432416301
BaseRepresentation
bin1000101100000…
…11011001110000
312002011012020110
410112003121300
5122124434333
611122141320
71543361124
oct426033160
9162135213
1072889968
1138165348
12204b1840
1312141078
149975584
1565ec063
hex4583670

72889968 has 40 divisors (see below), whose sum is σ = 189110416. Its totient is φ = 24192000.

The previous prime is 72889951. The next prime is 72889969. The reversal of 72889968 is 86998827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72889969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8418 + ... + 14718.

Almost surely, 272889968 is an apocalyptic number.

It is an amenable number.

72889968 is an abundant number, since it is smaller than the sum of its proper divisors (116220448).

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

72889968 is a wasteful number, since it uses less digits than its factorization.

72889968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6547 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The square root of 72889968 is about 8537.5621813255. The cubic root of 72889968 is about 417.7238318337.

The spelling of 72889968 in words is "seventy-two million, eight hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 241 482 723 964 1446 1928 2892 3856 5784 6301 11568 12602 18903 25204 37806 50408 75612 100816 151224 302448 1518541 3037082 4555623 6074164 9111246 12148328 18222492 24296656 36444984 72889968