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72158471 = 711285193
BaseRepresentation
bin1000100110100…
…00110100000111
312000210000210222
410103100310013
5121433032341
611054334555
71534223360
oct423206407
9160700728
1072158471
1137805800
12201ba45b
1311c46128
149824b67
15650544b
hex44d0d07

72158471 has 12 divisors (see below), whose sum is σ = 90646416. Its totient is φ = 56226720.

The previous prime is 72158461. The next prime is 72158497. The reversal of 72158471 is 17485127.

It is not a de Polignac number, because 72158471 - 26 = 72158407 is a prime.

It is a super-3 number, since 3×721584713 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72158431) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41750 + ... + 43443.

It is an arithmetic number, because the mean of its divisors is an integer number (7553868).

Almost surely, 272158471 is an apocalyptic number.

72158471 is a deficient number, since it is larger than the sum of its proper divisors (18487945).

72158471 is a wasteful number, since it uses less digits than its factorization.

72158471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85222 (or 85211 counting only the distinct ones).

The product of its digits is 15680, while the sum is 35.

The square root of 72158471 is about 8494.6142349138. The cubic root of 72158471 is about 416.3217566656.

The spelling of 72158471 in words is "seventy-two million, one hundred fifty-eight thousand, four hundred seventy-one".

Divisors: 1 7 11 77 121 847 85193 596351 937123 6559861 10308353 72158471