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72346768 = 2413347821
BaseRepresentation
bin1000100111111…
…10110010010000
312001010121002221
410103332302100
5122010044033
611102350424
71535636344
oct423766220
9161117087
1072346768
113792421a
122028b414
1311cb0a50
149873624
15654112d
hex44fec90

72346768 has 20 divisors (see below), whose sum is σ = 150954748. Its totient is φ = 33390720.

The previous prime is 72346759. The next prime is 72346819. The reversal of 72346768 is 86764327.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46621584 + 25725184 = 6828^2 + 5072^2 .

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 3 ways as a sum of consecutive naturals, for example, 173703 + ... + 174118.

Almost surely, 272346768 is an apocalyptic number.

It is an amenable number.

72346768 is an abundant number, since it is smaller than the sum of its proper divisors (78607980).

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

72346768 is a wasteful number, since it uses less digits than its factorization.

72346768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347842 (or 347836 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 72346768 is about 8505.6903305963. The cubic root of 72346768 is about 416.6835716519.

The spelling of 72346768 in words is "seventy-two million, three hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 347821 695642 1391284 2782568 4521673 5565136 9043346 18086692 36173384 72346768