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73022720 = 28589641
BaseRepresentation
bin1000101101000…
…11110100000000
312002101221100012
410112203310000
5122143211340
611125044052
71544453141
oct426436400
9162357305
1073022720
1138246061
1220556628
1312189614
1499abac8
156626565
hex45a3d00

73022720 has 72 divisors (see below), whose sum is σ = 177153480. Its totient is φ = 28835840.

The previous prime is 73022717. The next prime is 73022737. The reversal of 73022720 is 2722037.

It can be written as a sum of positive squares in 4 ways, for example, as 10549504 + 62473216 = 3248^2 + 7904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113600 + ... + 114240.

It is an arithmetic number, because the mean of its divisors is an integer number (2460465).

Almost surely, 273022720 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 73022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88576740).

73022720 is an abundant number, since it is smaller than the sum of its proper divisors (104130760).

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

73022720 is an equidigital number, since it uses as much as digits as its factorization.

73022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 73022720 is about 8545.3332293129. Note that the first 3 decimals coincide. The cubic root of 73022720 is about 417.9772733994.

Adding to 73022720 its reverse (2722037), we get a palindrome (75744757).

The spelling of 73022720 in words is "seventy-three million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 320 356 445 640 641 712 890 1280 1282 1424 1780 2564 2848 3205 3560 5128 5696 6410 7120 10256 11392 12820 14240 20512 22784 25640 28480 41024 51280 56960 57049 82048 102560 113920 114098 164096 205120 228196 285245 410240 456392 570490 820480 912784 1140980 1825568 2281960 3651136 4563920 7302272 9127840 14604544 18255680 36511360 73022720