Search a number
-
+
72005760 = 27355463
BaseRepresentation
bin1000100101010…
…11100010000000
312000111021100000
410102223202000
5121413141020
611051200000
71533016221
oct422534200
9160437300
1072005760
1137710aa2
1220146000
1311bc1778
1497c5248
1564c5090
hex44ab880

72005760 has 192 divisors, whose sum is σ = 258410880. Its totient is φ = 19160064.

The previous prime is 72005749. The next prime is 72005789. The reversal of 72005760 is 6750027.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155289 + ... + 155751.

It is an arithmetic number, because the mean of its divisors is an integer number (1345890).

Almost surely, 272005760 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 72005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129205440).

72005760 is an abundant number, since it is smaller than the sum of its proper divisors (186405120).

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

72005760 is an equidigital number, since it uses as much as digits as its factorization.

72005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72005760 is about 8485.6207787056. The cubic root of 72005760 is about 416.0278580949.

Adding to 72005760 its reverse (6750027), we get a palindrome (78755787).

The spelling of 72005760 in words is "seventy-two million, five thousand, seven hundred sixty".