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72433092 = 223192691181
BaseRepresentation
bin1000101000100…
…11110111000100
312001021222112010
410110103313010
5122020324332
611104254220
71536446124
oct424236704
9161258463
1072433092
1137983066
1220311370
1312011124
149896c84
15655b9cc
hex4513dc4

72433092 has 48 divisors (see below), whose sum is σ = 178718400. Its totient is φ = 22769280.

The previous prime is 72433091. The next prime is 72433103. The reversal of 72433092 is 29033427.

It is not an unprimeable number, because it can be changed into a prime (72433091) 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, 60742 + ... + 61922.

It is an arithmetic number, because the mean of its divisors is an integer number (3723300).

Almost surely, 272433092 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 72433092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89359200).

72433092 is an abundant number, since it is smaller than the sum of its proper divisors (106285308).

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

72433092 is a wasteful number, since it uses less digits than its factorization.

72433092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 72433092 is about 8510.7633030181. The cubic root of 72433092 is about 416.8492344117.

The spelling of 72433092 in words is "seventy-two million, four hundred thirty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 269 538 807 1076 1181 1614 2362 3228 3543 4724 5111 7086 10222 14172 15333 20444 22439 30666 44878 61332 67317 89756 134634 269268 317689 635378 953067 1270756 1906134 3812268 6036091 12072182 18108273 24144364 36216546 72433092