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72047164 = 22719135427
BaseRepresentation
bin1000100101101…
…01101000111100
312000120101010111
410102311220330
5121421002124
611052115404
71533251020
oct422655074
9160511114
1072047164
113773a112
1220165b64
1311c07577
1497d6380
1564d2494
hex44b5a3c

72047164 has 24 divisors (see below), whose sum is σ = 151679360. Its totient is φ = 29252016.

The previous prime is 72047153. The next prime is 72047167. The reversal of 72047164 is 46174027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72047167) 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 7 ways as a sum of consecutive naturals, for example, 67182 + ... + 68245.

Almost surely, 272047164 is an apocalyptic number.

It is an amenable number.

72047164 is an abundant number, since it is smaller than the sum of its proper divisors (79632196).

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

72047164 is a wasteful number, since it uses less digits than its factorization.

72047164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135457 (or 135455 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 72047164 is about 8488.0600846130. The cubic root of 72047164 is about 416.1075828139.

The spelling of 72047164 in words is "seventy-two million, forty-seven thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 135427 270854 541708 947989 1895978 2573113 3791956 5146226 10292452 18011791 36023582 72047164