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72246160 = 2457129011
BaseRepresentation
bin1000100111001…
…10001110010000
312000221111002201
410103212032100
5121443334120
611100252544
71535040130
oct423461620
9160844081
1072246160
1137865678
1220241154
1311c7700c
149848ac0
15652140a
hex44e6390

72246160 has 40 divisors (see below), whose sum is σ = 191969856. Its totient is φ = 24769920.

The previous prime is 72246131. The next prime is 72246173. The reversal of 72246160 is 6164227.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 63946 + ... + 65065.

Almost surely, 272246160 is an apocalyptic number.

72246160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72246160 is an abundant number, since it is smaller than the sum of its proper divisors (119723696).

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

72246160 is a wasteful number, since it uses less digits than its factorization.

72246160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129031 (or 129025 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72246160 is about 8499.7741146456. The cubic root of 72246160 is about 416.4903303615.

The spelling of 72246160 in words is "seventy-two million, two hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 129011 258022 516044 645055 903077 1032088 1290110 1806154 2064176 2580220 3612308 4515385 5160440 7224616 9030770 10320880 14449232 18061540 36123080 72246160