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72592074 = 23217613889
BaseRepresentation
bin1000101001110…
…10101011001010
312001121001121100
410110322223022
5122040421244
611111522230
71541010462
oct424725312
9161531540
1072592074
1137a81555
1220389376
13120685b9
1498d8ba2
15658db69
hex453aaca

72592074 has 48 divisors (see below), whose sum is σ = 169308360. Its totient is φ = 22394880.

The previous prime is 72592063. The next prime is 72592081. The reversal of 72592074 is 47029527.

It can be written as a sum of positive squares in 4 ways, for example, as 59954049 + 12638025 = 7743^2 + 3555^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16722 + ... + 20610.

Almost surely, 272592074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72592074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84654180).

72592074 is an abundant number, since it is smaller than the sum of its proper divisors (96716286).

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

72592074 is a wasteful number, since it uses less digits than its factorization.

72592074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72592074 is about 8520.0982388703. The cubic root of 72592074 is about 417.1539896747.

The spelling of 72592074 in words is "seventy-two million, five hundred ninety-two thousand, seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 3889 6222 7778 9333 11667 18666 23334 35001 66113 70002 132226 198339 237229 396678 474458 595017 711687 1190034 1423374 2135061 4032893 4270122 8065786 12098679 24197358 36296037 72592074