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72386040 = 2335603217
BaseRepresentation
bin1000101000010…
…00010111111000
312001012120222110
410110020113320
5122012323130
611103252320
71536162006
oct424102770
9161176873
1072386040
1137950781
12202aa0a0
1311cc589c
149883a76
15654cab0
hex45085f8

72386040 has 32 divisors (see below), whose sum is σ = 217158480. Its totient is φ = 19302912.

The previous prime is 72386011. The next prime is 72386053. The reversal of 72386040 is 4068327.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72385989 and 72386007.

It is a congruent number.

It is an unprimeable number.

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, 301489 + ... + 301728.

Almost surely, 272386040 is an apocalyptic number.

It is an amenable number.

72386040 is an abundant number, since it is smaller than the sum of its proper divisors (144772440).

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

72386040 is a wasteful number, since it uses less digits than its factorization.

72386040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603231 (or 603227 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72386040 is about 8507.9985895626. The cubic root of 72386040 is about 416.7589541355.

The spelling of 72386040 in words is "seventy-two million, three hundred eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 603217 1206434 1809651 2412868 3016085 3619302 4825736 6032170 7238604 9048255 12064340 14477208 18096510 24128680 36193020 72386040