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72074340 = 223351310267
BaseRepresentation
bin1000100101111…
…00010001100100
312000121202102000
410102330101210
5121422334330
611052445300
71533423162
oct422742144
9160552360
1072074340
1137758578
1220179830
1311c16a50
149802232
1564da560
hex44bc464

72074340 has 96 divisors (see below), whose sum is σ = 241503360. Its totient is φ = 17739648.

The previous prime is 72074333. The next prime is 72074369. The reversal of 72074340 is 4347027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1887 + ... + 12153.

It is an arithmetic number, because the mean of its divisors is an integer number (2515660).

Almost surely, 272074340 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 72074340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120751680).

72074340 is an abundant number, since it is smaller than the sum of its proper divisors (169429020).

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

72074340 is a wasteful number, since it uses less digits than its factorization.

72074340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10290 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72074340 is about 8489.6607706080. The cubic root of 72074340 is about 416.1598944643.

The spelling of 72074340 in words is "seventy-two million, seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 10267 20534 30801 41068 51335 61602 92403 102670 123204 133471 154005 184806 205340 266942 277209 308010 369612 400413 462015 533884 554418 616020 667355 800826 924030 1108836 1201239 1334710 1386045 1601652 1848060 2002065 2402478 2669420 2772090 3603717 4004130 4804956 5544180 6006195 7207434 8008260 12012390 14414868 18018585 24024780 36037170 72074340