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72323934928 = 24723715792
BaseRepresentation
bin100001101011011010…
…1111010101011010000
320220200101020120021121
41003112311322223100
52141104411404203
653120344532024
75140153206100
oct1032665725320
9226611216247
1072323934928
1128743a80853
1212025181014
136a87a4cc8b
143701515200
151d3465e0bd
hex10d6d7aad0

72323934928 has 90 divisors (see below), whose sum is σ = 167517250866. Its totient is φ = 30139143552.

The previous prime is 72323934919. The next prime is 72323934937. The reversal of 72323934928 is 82943932327.

It is an interprime number because it is at equal distance from previous prime (72323934919) and next prime (72323934937).

It can be written as a sum of positive squares in only one way, i.e., 70369233984 + 1954700944 = 265272^2 + 44212^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 45802843 + ... + 45804421.

Almost surely, 272323934928 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 72323934928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83758625433).

72323934928 is an abundant number, since it is smaller than the sum of its proper divisors (95193315938).

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

72323934928 is an equidigital number, since it uses as much as digits as its factorization.

72323934928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 1625 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 52.

The spelling of 72323934928 in words is "seventy-two billion, three hundred twenty-three million, nine hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1579 1813 2072 3158 3626 4144 6316 7252 11053 12632 14504 22106 25264 29008 44212 58423 77371 88424 116846 154742 176848 233692 309484 408961 467384 618968 817922 934768 1237936 1635844 2493241 2862727 3271688 4986482 5725454 6543376 9972964 11450908 17452687 19945928 22901816 34905374 39891856 45803632 69810748 92249917 122168809 139621496 184499834 244337618 279242992 368999668 488675236 645749419 737999336 977350472 1291498838 1475998672 1954700944 2582997676 4520245933 5165995352 9040491866 10331990704 18080983732 36161967464 72323934928