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72042000 = 2435312007
BaseRepresentation
bin1000100101101…
…00011000010000
312000120010001020
410102310120100
5121420321000
611052035440
71533226662
oct422643020
9160503036
1072042000
1137736248
1220162b80
1311c05104
1497d4532
1564d0ba0
hex44b4610

72042000 has 80 divisors (see below), whose sum is σ = 232282752. Its totient is φ = 19209600.

The previous prime is 72041993. The next prime is 72042017. The reversal of 72042000 is 24027.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4 + ... + 12003.

Almost surely, 272042000 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 72042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116141376).

72042000 is an abundant number, since it is smaller than the sum of its proper divisors (160240752).

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

72042000 is a wasteful number, since it uses less digits than its factorization.

72042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12033 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 72042000 is about 8487.7558871589. The cubic root of 72042000 is about 416.0976410351.

Adding to 72042000 its reverse (24027), we get a palindrome (72066027).

The spelling of 72042000 in words is "seventy-two million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 12007 24014 36021 48028 60035 72042 96056 120070 144084 180105 192112 240140 288168 300175 360210 480280 576336 600350 720420 900525 960560 1200700 1440840 1500875 1801050 2401400 2881680 3001750 3602100 4502625 4802800 6003500 7204200 9005250 12007000 14408400 18010500 24014000 36021000 72042000