Search a number
-
+
72808072752 = 2431516834849
BaseRepresentation
bin100001111001110110…
…0110000011000110000
320221221010020022112010
41003303230300120300
52143102331312002
653240401402520
75155152256452
oct1036354603060
9227833208463
1072808072752
1128972293758
121213b339440
136b3414016c
14374993c2d2
151d61de246c
hex10f3b30630

72808072752 has 20 divisors (see below), whose sum is σ = 188087521400. Its totient is φ = 24269357568.

The previous prime is 72808072741. The next prime is 72808072769. The reversal of 72808072752 is 25727080827.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1516834849 = 72808072752 / (7 + 2 + 8 + 0 + 8 + 0 + 7 + 2 + 7 + 5 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 758417377 + ... + 758417472.

It is an arithmetic number, because the mean of its divisors is an integer number (9404376070).

Almost surely, 272808072752 is an apocalyptic number.

It is an amenable number.

72808072752 is an abundant number, since it is smaller than the sum of its proper divisors (115279448648).

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

72808072752 is a wasteful number, since it uses less digits than its factorization.

72808072752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516834860 (or 1516834854 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The spelling of 72808072752 in words is "seventy-two billion, eight hundred eight million, seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1516834849 3033669698 4550504547 6067339396 9101009094 12134678792 18202018188 24269357584 36404036376 72808072752