Search a number
-
+
72267306672 = 24311136869899
BaseRepresentation
bin100001101001101110…
…1111001011010110000
320220112102200112220210
41003103131321122300
52141000412303142
653111003104120
75135564654121
oct1032335713260
9226472615823
1072267306672
1128715013140
121200a212040
136a790b3932
1436d7bb4048
151d2e6c549c
hex10d37796b0

72267306672 has 40 divisors (see below), whose sum is σ = 203662411200. Its totient is φ = 21899183680.

The previous prime is 72267306637. The next prime is 72267306701. The reversal of 72267306672 is 27660376227.

It is a super-2 number, since 2×722673066722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68434422 + ... + 68435477.

It is an arithmetic number, because the mean of its divisors is an integer number (5091560280).

Almost surely, 272267306672 is an apocalyptic number.

It is an amenable number.

72267306672 is an abundant number, since it is smaller than the sum of its proper divisors (131395104528).

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

72267306672 is a wasteful number, since it uses less digits than its factorization.

72267306672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136869921 (or 136869915 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 72267306672 in words is "seventy-two billion, two hundred sixty-seven million, three hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 136869899 273739798 410609697 547479596 821219394 1094959192 1505568889 1642438788 2189918384 3011137778 3284877576 4516706667 6022275556 6569755152 9033413334 12044551112 18066826668 24089102224 36133653336 72267306672