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72273340 = 22519892137
BaseRepresentation
bin1000100111011…
…00110110111100
312000222212101101
410103230312330
5122000221330
611101022444
71535212306
oct423546674
9160885341
1072273340
1137884037
1220254a24
1311c864b9
149854976
1565294ca
hex44ecdbc

72273340 has 48 divisors (see below), whose sum is σ = 161632800. Its totient is φ = 27067392.

The previous prime is 72273323. The next prime is 72273353. The reversal of 72273340 is 4337227.

It is a junction number, because it is equal to n+sod(n) for n = 72273299 and 72273308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32752 + ... + 34888.

It is an arithmetic number, because the mean of its divisors is an integer number (3367350).

Almost surely, 272273340 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 72273340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80816400).

72273340 is an abundant number, since it is smaller than the sum of its proper divisors (89359460).

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

72273340 is a wasteful number, since it uses less digits than its factorization.

72273340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 72273340 is about 8501.3728303139. The cubic root of 72273340 is about 416.5425536117.

The spelling of 72273340 in words is "seventy-two million, two hundred seventy-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 356 380 445 890 1691 1780 2137 3382 4274 6764 8455 8548 10685 16910 21370 33820 40603 42740 81206 162412 190193 203015 380386 406030 760772 812060 950965 1901930 3613667 3803860 7227334 14454668 18068335 36136670 72273340