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72074196 = 22322002061
BaseRepresentation
bin1000100101111…
…00001111010100
312000121202012200
410102330033110
5121422333241
611052444500
71533422565
oct422741724
9160552180
1072074196
1137758457
1220179730
1311c1696c
14980216c
1564da4b6
hex44bc3d4

72074196 has 18 divisors (see below), whose sum is σ = 182187642. Its totient is φ = 24024720.

The previous prime is 72074173. The next prime is 72074213. The reversal of 72074196 is 69147027.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 36433296 + 35640900 = 6036^2 + 5970^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2002061 = 72074196 / (7 + 2 + 0 + 7 + 4 + 1 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 72074196.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1000995 + ... + 1001066.

Almost surely, 272074196 is an apocalyptic number.

It is an amenable number.

72074196 is an abundant number, since it is smaller than the sum of its proper divisors (110113446).

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

72074196 is a wasteful number, since it uses less digits than its factorization.

72074196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002071 (or 2002066 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72074196 is about 8489.6522896995. The cubic root of 72074196 is about 416.1596173104.

The spelling of 72074196 in words is "seventy-two million, seventy-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 2002061 4004122 6006183 8008244 12012366 18018549 24024732 36037098 72074196