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72004104 = 23325318869
BaseRepresentation
bin1000100101010…
…11001000001000
312000111012001200
410102223020020
5121413112404
611051144200
71533011334
oct422531010
9160435050
1072004104
113770a827
1220145060
1311bc0aa3
1497c47c4
1564c4839
hex44ab208

72004104 has 48 divisors (see below), whose sum is σ = 198701100. Its totient is φ = 23547264.

The previous prime is 72004073. The next prime is 72004111. The reversal of 72004104 is 40140027.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59259204 + 12744900 = 7698^2 + 3570^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5619 + ... + 13250.

Almost surely, 272004104 is an apocalyptic number.

It is an amenable number.

72004104 is an abundant number, since it is smaller than the sum of its proper divisors (126696996).

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

72004104 is a wasteful number, since it uses less digits than its factorization.

72004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18934 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72004104 is about 8485.5232013117. The cubic root of 72004104 is about 416.0246687787.

The spelling of 72004104 in words is "seventy-two million, four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 18869 37738 56607 75476 113214 150952 169821 226428 339642 452856 679284 1000057 1358568 2000114 3000171 4000228 6000342 8000456 9000513 12000684 18001026 24001368 36002052 72004104