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73216764 = 22332997241
BaseRepresentation
bin1000101110100…
…11001011111100
312002202210112000
410113103023330
5122220414024
611133142300
71546221645
oct427231374
9162683460
1073216764
1138368925
122062a990
1312226a3a
149a1c6cc
156663cc9
hex45d32fc

73216764 has 96 divisors (see below), whose sum is σ = 199214400. Its totient is φ = 23224320.

The previous prime is 73216733. The next prime is 73216769. The reversal of 73216764 is 46761237.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73216769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303684 + ... + 303924.

It is an arithmetic number, because the mean of its divisors is an integer number (2075150).

Almost surely, 273216764 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 73216764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99607200).

73216764 is an abundant number, since it is smaller than the sum of its proper divisors (125997636).

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

73216764 is a wasteful number, since it uses less digits than its factorization.

73216764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 73216764 is about 8556.6794961597. The cubic root of 73216764 is about 418.3471776642.

The spelling of 73216764 in words is "seventy-three million, two hundred sixteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 97 108 116 174 194 241 261 291 348 388 482 522 582 723 783 873 964 1044 1164 1446 1566 1746 2169 2619 2813 2892 3132 3492 4338 5238 5626 6507 6989 8439 8676 10476 11252 13014 13978 16878 20967 23377 25317 26028 27956 33756 41934 46754 50634 62901 70131 75951 83868 93508 101268 125802 140262 151902 188703 210393 251604 280524 303804 377406 420786 631179 677933 754812 841572 1262358 1355866 2033799 2524716 2711732 4067598 6101397 8135196 12202794 18304191 24405588 36608382 73216764