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72791870040 = 23325316522569
BaseRepresentation
bin100001111001010111…
…0111100101001011000
320221212222202010120200
41003302232330221120
52143034204320130
653235022222200
75154564454311
oct1036256745130
9227788663520
1072791870040
112896412738a
1212135a24960
136b30989266
143747721608
151d60791760
hex10f2bbca58

72791870040 has 96 divisors (see below), whose sum is σ = 244205020800. Its totient is φ = 18784995840.

The previous prime is 72791870029. The next prime is 72791870059. The reversal of 72791870040 is 4007819727.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 3250125 + ... + 3272444.

It is an arithmetic number, because the mean of its divisors is an integer number (2543802300).

Almost surely, 272791870040 is an apocalyptic number.

It is an amenable number.

72791870040 is an abundant number, since it is smaller than the sum of its proper divisors (171413150760).

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

72791870040 is a wasteful number, since it uses less digits than its factorization.

72791870040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6522617 (or 6522610 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 72791870040 in words is "seventy-two billion, seven hundred ninety-one million, eight hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 6522569 13045138 19567707 26090276 32612845 39135414 52180552 58703121 65225690 78270828 97838535 117406242 130451380 156541656 195677070 202199639 234812484 260902760 293515605 391354140 404399278 469624968 587031210 606598917 782708280 808798556 1010998195 1174062420 1213197834 1617597112 1819796751 2021996390 2348124840 2426395668 3032994585 3639593502 4043992780 4852791336 6065989170 7279187004 8087985560 9098983755 12131978340 14558374008 18197967510 24263956680 36395935020 72791870040