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72290069 = 1729331443
BaseRepresentation
bin1000100111100…
…00111100010101
312001000201022222
410103300330111
5122001240234
611101232125
71535312135
oct423607425
9161021288
1072290069
1137895665
1220262645
1311c90cb7
14985aac5
15652e42e
hex44f0f15

72290069 has 16 divisors (see below), whose sum is σ = 79600320. Its totient is φ = 65345280.

The previous prime is 72290059. The next prime is 72290087. The reversal of 72290069 is 96009227.

It is not a de Polignac number, because 72290069 - 212 = 72285973 is a prime.

It is a super-3 number, since 3×722900693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72290059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162962 + ... + 163404.

It is an arithmetic number, because the mean of its divisors is an integer number (4975020).

Almost surely, 272290069 is an apocalyptic number.

It is an amenable number.

72290069 is a deficient number, since it is larger than the sum of its proper divisors (7310251).

72290069 is a wasteful number, since it uses less digits than its factorization.

72290069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 72290069 is about 8502.3566732995. The cubic root of 72290069 is about 416.5746899560.

The spelling of 72290069 in words is "seventy-two million, two hundred ninety thousand, sixty-nine".

Divisors: 1 17 29 331 443 493 5627 7531 9599 12847 146633 163183 218399 2492761 4252357 72290069