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72786036 = 22319319237
BaseRepresentation
bin1000101011010…
…10000001110100
312001221220200010
410111222001310
5122113123121
611120020220
71542446121
oct425520164
9161856603
1072786036
11380a4254
1220461670
131210597b
149949748
1565cb376
hex456a074

72786036 has 24 divisors (see below), whose sum is σ = 178773280. Its totient is φ = 22984992.

The previous prime is 72786031. The next prime is 72786071. The reversal of 72786036 is 63068727.

It is a junction number, because it is equal to n+sod(n) for n = 72785985 and 72786003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72786031) 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, 159391 + ... + 159846.

Almost surely, 272786036 is an apocalyptic number.

72786036 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72786036 is an abundant number, since it is smaller than the sum of its proper divisors (105987244).

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

72786036 is a wasteful number, since it uses less digits than its factorization.

72786036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319263 (or 319261 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 72786036 is about 8531.4732608149. The cubic root of 72786036 is about 417.5251967056.

The spelling of 72786036 in words is "seventy-two million, seven hundred eighty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 319237 638474 957711 1276948 1915422 3830844 6065503 12131006 18196509 24262012 36393018 72786036