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72042446745 = 32517313037843
BaseRepresentation
bin100001100011000010…
…0000111111110011001
320212221202120111002100
41003012010013332121
52140020331243440
653032411354013
75130164456613
oct1030604077631
9225852514070
1072042446745
112860a0a0595
1211b66a52909
136a41634119
1436b5d9ddb3
151d19aaa230
hex10c6107f99

72042446745 has 48 divisors (see below), whose sum is σ = 136484255232. Its totient is φ = 34995939840.

The previous prime is 72042446743. The next prime is 72042446747. The reversal of 72042446745 is 54764424027.

It is an interprime number because it is at equal distance from previous prime (72042446743) and next prime (72042446747).

It is not a de Polignac number, because 72042446745 - 21 = 72042446743 is a prime.

It is a super-2 number, since 2×720424467452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72042446745.

It is not an unprimeable number, because it can be changed into a prime (72042446743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495207 + ... + 1542636.

It is an arithmetic number, because the mean of its divisors is an integer number (2843421984).

Almost surely, 272042446745 is an apocalyptic number.

It is an amenable number.

72042446745 is a deficient number, since it is larger than the sum of its proper divisors (64441808487).

72042446745 is a wasteful number, since it uses less digits than its factorization.

72042446745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037902 (or 3037899 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 72042446745 in words is "seventy-two billion, forty-two million, four hundred forty-six thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 17 31 45 51 85 93 153 155 255 279 465 527 765 1395 1581 2635 4743 7905 23715 3037843 9113529 15189215 27340587 45567645 51643331 94173133 136702935 154929993 258216655 282519399 464789979 470865665 774649965 847558197 1412596995 1600943261 2323949895 4237790985 4802829783 8004716305 14408489349 24014148915 72042446745