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73404072 = 23327145643
BaseRepresentation
bin1000110000000…
…00111010101000
312010010022110100
410120000322220
5122242412242
611141145400
71550632020
oct430007250
9163108410
1073404072
1138486625
12206bb260
1312291081
149a6aa80
15669e54c
hex4600ea8

73404072 has 48 divisors (see below), whose sum is σ = 227204640. Its totient is φ = 20972448.

The previous prime is 73404047. The next prime is 73404077. The reversal of 73404072 is 27040437.

It is not an unprimeable number, because it can be changed into a prime (73404077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72318 + ... + 73325.

It is an arithmetic number, because the mean of its divisors is an integer number (4733430).

Almost surely, 273404072 is an apocalyptic number.

73404072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73404072 is an abundant number, since it is smaller than the sum of its proper divisors (153800568).

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

73404072 is a wasteful number, since it uses less digits than its factorization.

73404072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145662 (or 145655 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 73404072 is about 8567.6176385271. The cubic root of 73404072 is about 418.7036217441.

Subtracting from 73404072 its reverse (27040437), we obtain a triangular number (46363635 = T9629).

The spelling of 73404072 in words is "seventy-three million, four hundred four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 145643 291286 436929 582572 873858 1019501 1165144 1310787 1747716 2039002 2621574 3058503 3495432 4078004 5243148 6117006 8156008 9175509 10486296 12234012 18351018 24468024 36702036 73404072