Search a number
-
+
72004744000 = 265371285799
BaseRepresentation
bin100001100001111010…
…0010011001101000000
320212212010121222122101
41003003310103031000
52134431203302000
653024543320144
75126226140230
oct1030364231500
9225763558571
1072004744000
112859a8899a2
1211b562b0054
136a368930c7
1436b0d87cc0
151d1660de6a
hex10c3d13340

72004744000 has 112 divisors (see below), whose sum is σ = 203794156800. Its totient is φ = 24687321600.

The previous prime is 72004743997. The next prime is 72004744013. The reversal of 72004744000 is 44740027.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 72004744000.

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, 586900 + ... + 698899.

Almost surely, 272004744000 is an apocalyptic number.

72004744000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72004744000 is an abundant number, since it is smaller than the sum of its proper divisors (131789412800).

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

72004744000 is a wasteful number, since it uses less digits than its factorization.

72004744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285833 (or 1285813 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The spelling of 72004744000 in words is "seventy-two billion, four million, seven hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000 1285799 2571598 5143196 6428995 9000593 10286392 12857990 18001186 20572784 25715980 32144975 36002372 41145568 45002965 51431960 64289950 72004744 82291136 90005930 102863920 128579900 144009488 160724875 180011860 205727840 225014825 257159800 288018976 321449750 360023720 411455680 450029650 514319600 576037952 642899500 720047440 900059300 1028639200 1125074125 1285799000 1440094880 1800118600 2057278400 2250148250 2571598000 2880189760 3600237200 4500296500 5143196000 7200474400 9000593000 10286392000 14400948800 18001186000 36002372000 72004744000