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73012720 = 24511292861
BaseRepresentation
bin1000101101000…
…01010111110000
312002101102121211
410112201113300
5122142401340
611124525504
71544412034
oct426412760
9162342554
1073012720
11382395a0
1220550894
1312184bc1
1499a81c4
1566235ea
hex45a15f0

73012720 has 80 divisors (see below), whose sum is σ = 191639520. Its totient is φ = 25625600.

The previous prime is 73012711. The next prime is 73012721. The reversal of 73012720 is 2721037.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 73012691 and 73012700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73012721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24090 + ... + 26950.

It is an arithmetic number, because the mean of its divisors is an integer number (2395494).

Almost surely, 273012720 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 73012720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95819760).

73012720 is an abundant number, since it is smaller than the sum of its proper divisors (118626800).

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

73012720 is a wasteful number, since it uses less digits than its factorization.

73012720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 73012720 is about 8544.7480945900. The cubic root of 73012720 is about 417.9581927464.

Adding to 73012720 its reverse (2721037), we get a palindrome (75733757).

The spelling of 73012720 in words is "seventy-three million, twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 2861 3190 5104 5722 6380 11444 12760 14305 22888 25520 28610 31471 45776 57220 62942 82969 114440 125884 157355 165938 228880 251768 314710 331876 414845 503536 629420 663752 829690 912659 1258840 1327504 1659380 1825318 2517680 3318760 3650636 4563295 6637520 7301272 9126590 14602544 18253180 36506360 73012720