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8072064 = 2732721113
BaseRepresentation
bin11110110010101110000000
3120012002210100
4132302232000
54031301224
6445002400
7125416500
oct36625600
916162710
108072064
114613730
122853400
131898190
141101a00
15a96ac9
hex7b2b80

8072064 has 288 divisors, whose sum is σ = 31744440. Its totient is φ = 1935360.

The previous prime is 8072041. The next prime is 8072087. The reversal of 8072064 is 4602708.

8072064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8072041) and next prime (8072087).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 620922 + ... + 620934.

Almost surely, 28072064 is an apocalyptic number.

8072064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220).

8072064 is an abundant number, since it is smaller than the sum of its proper divisors (23672376).

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

8072064 is a wasteful number, since it uses less digits than its factorization.

8072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8072064 is about 2841.1378002483. The cubic root of 8072064 is about 200.5987391021.

8072064 divided by its product of nonzero digits (2688) gives a palindrome (3003).

The spelling of 8072064 in words is "eight million, seventy-two thousand, sixty-four".