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72075000 = 23355312
BaseRepresentation
bin1000100101111…
…00011011111000
312000121210022110
410102330123320
5121422400000
611052452320
71533425124
oct422743370
9160553273
1072075000
1137759018
122017a0a0
1311c1713a
149802584
1564da850
hex44bc6f8

72075000 has 144 divisors (see below), whose sum is σ = 232719480. Its totient is φ = 18600000.

The previous prime is 72074987. The next prime is 72075013. The reversal of 72075000 is 57027.

It is an interprime number because it is at equal distance from previous prime (72074987) and next prime (72075013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2324985 + ... + 2325015.

Almost surely, 272075000 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 72075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116359740).

72075000 is an abundant number, since it is smaller than the sum of its proper divisors (160644480).

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

72075000 is an equidigital number, since it uses as much as digits as its factorization.

72075000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 72075000 is about 8489.6996413301. The cubic root of 72075000 is about 416.1611647485.

The spelling of 72075000 in words is "seventy-two million, seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 625 744 750 775 930 961 1000 1240 1250 1500 1550 1860 1875 1922 2325 2500 2883 3000 3100 3125 3720 3750 3844 3875 4650 4805 5000 5766 6200 6250 7500 7688 7750 9300 9375 9610 11532 11625 12500 14415 15000 15500 18600 18750 19220 19375 23064 23250 24025 25000 28830 31000 37500 38440 38750 46500 48050 57660 58125 72075 75000 77500 93000 96100 96875 115320 116250 120125 144150 155000 192200 193750 232500 240250 288300 290625 360375 387500 465000 480500 576600 581250 600625 720750 775000 961000 1162500 1201250 1441500 1801875 2325000 2402500 2883000 3003125 3603750 4805000 6006250 7207500 9009375 12012500 14415000 18018750 24025000 36037500 72075000