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73422720 = 273357607
BaseRepresentation
bin1000110000001…
…01011110000000
312010011021001000
410120011132000
5122244011340
611141412000
71551040260
oct430053600
9163137030
1073422720
1138499638
122070a000
13122996c7
149a737a0
1566a4d30
hex4605780

73422720 has 256 divisors, whose sum is σ = 297676800. Its totient is φ = 16754688.

The previous prime is 73422703. The next prime is 73422721. The reversal of 73422720 is 2722437.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73422721) 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, 120657 + ... + 121263.

It is an arithmetic number, because the mean of its divisors is an integer number (1162800).

Almost surely, 273422720 is an apocalyptic number.

73422720 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 73422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148838400).

73422720 is an abundant number, since it is smaller than the sum of its proper divisors (224254080).

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

73422720 is a wasteful number, since it uses less digits than its factorization.

73422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 73422720 is about 8568.7058532780. The cubic root of 73422720 is about 418.7390753814.

The spelling of 73422720 in words is "seventy-three million, four hundred twenty-two thousand, seven hundred twenty".