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72093798 = 2327311677
BaseRepresentation
bin1000100110000…
…01000001100110
312000122202002200
410103001001212
5121424000143
611053115330
71533534000
oct423010146
9160582080
1072093798
1137771157
1220188b46
1311c2286a
149809370
1564e11d3
hex44c1066

72093798 has 48 divisors (see below), whose sum is σ = 182176800. Its totient is φ = 20596464.

The previous prime is 72093793. The next prime is 72093829. The reversal of 72093798 is 89739027.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72093793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336 + ... + 12012.

It is an arithmetic number, because the mean of its divisors is an integer number (3795350).

Almost surely, 272093798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72093798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91088400).

72093798 is an abundant number, since it is smaller than the sum of its proper divisors (110083002).

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

72093798 is a wasteful number, since it uses less digits than its factorization.

72093798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11706 (or 11689 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 72093798 is about 8490.8066754579. The cubic root of 72093798 is about 416.1973414976.

The spelling of 72093798 in words is "seventy-two million, ninety-three thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 11677 23354 35031 70062 81739 105093 163478 210186 245217 490434 572173 735651 1144346 1471302 1716519 3433038 4005211 5149557 8010422 10299114 12015633 24031266 36046899 72093798