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73725036 = 223711731093
BaseRepresentation
bin1000110010011…
…11010001101100
312010201121201220
410121033101230
5122333200121
611152103340
71553436540
oct431172154
9163647656
1073725036
1138685790
1220834b50
13123741a8
149b11a20
1567146c6
hex464f46c

73725036 has 96 divisors (see below), whose sum is σ = 217609728. Its totient is φ = 18869760.

The previous prime is 73725017. The next prime is 73725061. The reversal of 73725036 is 63052737.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 73724988 and 73725006.

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 31 ways as a sum of consecutive naturals, for example, 66906 + ... + 67998.

It is an arithmetic number, because the mean of its divisors is an integer number (2266768).

Almost surely, 273725036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73725036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108804864).

73725036 is an abundant number, since it is smaller than the sum of its proper divisors (143884692).

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

73725036 is a wasteful number, since it uses less digits than its factorization.

73725036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 73725036 is about 8586.3284353675. The cubic root of 73725036 is about 419.3130038738.

The spelling of 73725036 in words is "seventy-three million, seven hundred twenty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 73 77 84 132 146 154 219 231 292 308 438 462 511 803 876 924 1022 1093 1533 1606 2044 2186 2409 3066 3212 3279 4372 4818 5621 6132 6558 7651 9636 11242 12023 13116 15302 16863 22484 22953 24046 30604 33726 36069 45906 48092 67452 72138 79789 84161 91812 144276 159578 168322 239367 252483 319156 336644 478734 504966 558523 877679 957468 1009932 1117046 1675569 1755358 2234092 2633037 3351138 3510716 5266074 6143753 6702276 10532148 12287506 18431259 24575012 36862518 73725036