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72133204 = 221113126107
BaseRepresentation
bin1000100110010…
…10101001010100
312000201202011011
410103022221110
5121431230304
611054022004
71534056613
oct423125124
9160652134
1072133204
1137798820
12201a7904
1311c37790
14981987a
1564ecc04
hex44caa54

72133204 has 24 divisors (see below), whose sum is σ = 148303008. Its totient is φ = 30265440.

The previous prime is 72133189. The next prime is 72133207. The reversal of 72133204 is 40233127.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72133207) 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 7 ways as a sum of consecutive naturals, for example, 62482 + ... + 63625.

It is an arithmetic number, because the mean of its divisors is an integer number (6179292).

Almost surely, 272133204 is an apocalyptic number.

It is an amenable number.

72133204 is an abundant number, since it is smaller than the sum of its proper divisors (76169804).

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

72133204 is a wasteful number, since it uses less digits than its factorization.

72133204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126135 (or 126133 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 72133204 is about 8493.1268682388. The cubic root of 72133204 is about 416.2731579369.

The spelling of 72133204 in words is "seventy-two million, one hundred thirty-three thousand, two hundred four".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 126107 252214 504428 1387177 1639391 2774354 3278782 5548708 6557564 18033301 36066602 72133204