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72232104 = 2337429953
BaseRepresentation
bin1000100111000…
…10110010101000
312000220202211010
410103202302220
5121442411404
611100103520
71534651140
oct423426250
9160822733
1072232104
113785605a
1220234ba0
1311c707b9
149843920
15651c189
hex44e2ca8

72232104 has 32 divisors (see below), whose sum is σ = 206377920. Its totient is φ = 20637696.

The previous prime is 72232093. The next prime is 72232109. The reversal of 72232104 is 40123227.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (72232109) 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, 214809 + ... + 215144.

It is an arithmetic number, because the mean of its divisors is an integer number (6449310).

Almost surely, 272232104 is an apocalyptic number.

It is an amenable number.

72232104 is an abundant number, since it is smaller than the sum of its proper divisors (134145816).

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

72232104 is a wasteful number, since it uses less digits than its factorization.

72232104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429969 (or 429965 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72232104 is about 8498.9472289219. The cubic root of 72232104 is about 416.4633182325.

The spelling of 72232104 in words is "seventy-two million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 429953 859906 1289859 1719812 2579718 3009671 3439624 5159436 6019342 9029013 10318872 12038684 18058026 24077368 36116052 72232104