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73072860 = 22357199157
BaseRepresentation
bin1000101101100…
…00000011011100
312002111111010020
410112300003130
5122201312420
611130112140
71545052260
oct426600334
9162444106
1073072860
113827a7a3
122057b650
13121a63a3
1499c20a0
156636340
hex45b00dc

73072860 has 96 divisors (see below), whose sum is σ = 246167040. Its totient is φ = 15821568.

The previous prime is 73072847. The next prime is 73072897. The reversal of 73072860 is 6827037.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3402 + ... + 12558.

It is an arithmetic number, because the mean of its divisors is an integer number (2564240).

Almost surely, 273072860 is an apocalyptic number.

73072860 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73072860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123083520).

73072860 is an abundant number, since it is smaller than the sum of its proper divisors (173094180).

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

73072860 is a wasteful number, since it uses less digits than its factorization.

73072860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9195 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 73072860 is about 8548.2664909325. The cubic root of 73072860 is about 418.0729175388.

Adding to 73072860 its reverse (6827037), we get a palindrome (79899897).

The spelling of 73072860 in words is "seventy-three million, seventy-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 9157 18314 27471 36628 45785 54942 64099 91570 109884 128198 137355 173983 183140 192297 256396 274710 320495 347966 384594 521949 549420 640990 695932 769188 869915 961485 1043898 1217881 1281980 1739830 1922970 2087796 2435762 2609745 3479660 3653643 3845940 4871524 5219490 6089405 7307286 10438980 12178810 14614572 18268215 24357620 36536430 73072860